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704.0001 | Pavel Nadolsky | C. Bal\'azs, E. L. Berger, P. M. Nadolsky, C.-P. Yuan | Calculation of prompt diphoton production cross sections at Tevatron and
LHC energies | 37 pages, 15 figures; published version | Phys.Rev.D76:013009,2007 | 10.1103/PhysRevD.76.013009 | ANL-HEP-PR-07-12 | hep-ph | null | A fully differential calculation in perturbative quantum chromodynamics is
presented for the production of massive photon pairs at hadron colliders. All
next-to-leading order perturbative contributions from quark-antiquark,
gluon-(anti)quark, and gluon-gluon subprocesses are included, as well as
all-orders resummation of initial-state gluon radiation valid at
next-to-next-to-leading logarithmic accuracy. The region of phase space is
specified in which the calculation is most reliable. Good agreement is
demonstrated with data from the Fermilab Tevatron, and predictions are made for
more detailed tests with CDF and DO data. Predictions are shown for
distributions of diphoton pairs produced at the energy of the Large Hadron
Collider (LHC). Distributions of the diphoton pairs from the decay of a Higgs
boson are contrasted with those produced from QCD processes at the LHC, showing
that enhanced sensitivity to the signal can be obtained with judicious
selection of events.
| [
{
"version": "v1",
"created": "Mon, 2 Apr 2007 19:18:42 GMT"
},
{
"version": "v2",
"created": "Tue, 24 Jul 2007 20:10:27 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Balázs",
"C.",
""
],
[
"Berger",
"E. L.",
""
],
[
"Nadolsky",
"P. M.",
""
],
[
"Yuan",
"C. -P.",
""
]
] | [
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704.0002 | Louis Theran | Ileana Streinu and Louis Theran | Sparsity-certifying Graph Decompositions | To appear in Graphs and Combinatorics | null | null | null | math.CO cs.CG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a new algorithm, the $(k,\ell)$-pebble game with colors, and use
it obtain a characterization of the family of $(k,\ell)$-sparse graphs and
algorithmic solutions to a family of problems concerning tree decompositions of
graphs. Special instances of sparse graphs appear in rigidity theory and have
received increased attention in recent years. In particular, our colored
pebbles generalize and strengthen the previous results of Lee and Streinu and
give a new proof of the Tutte-Nash-Williams characterization of arboricity. We
also present a new decomposition that certifies sparsity based on the
$(k,\ell)$-pebble game with colors. Our work also exposes connections between
pebble game algorithms and previous sparse graph algorithms by Gabow, Gabow and
Westermann and Hendrickson.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 02:26:18 GMT"
},
{
"version": "v2",
"created": "Sat, 13 Dec 2008 17:26:00 GMT"
}
] | 2008-12-13T00:00:00 | [
[
"Streinu",
"Ileana",
""
],
[
"Theran",
"Louis",
""
]
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704.0003 | Hongjun Pan | Hongjun Pan | The evolution of the Earth-Moon system based on the dark matter field
fluid model | 23 pages, 3 figures | null | null | null | physics.gen-ph | null | The evolution of Earth-Moon system is described by the dark matter field
fluid model proposed in the Meeting of Division of Particle and Field 2004,
American Physical Society. The current behavior of the Earth-Moon system agrees
with this model very well and the general pattern of the evolution of the
Moon-Earth system described by this model agrees with geological and fossil
evidence. The closest distance of the Moon to Earth was about 259000 km at 4.5
billion years ago, which is far beyond the Roche's limit. The result suggests
that the tidal friction may not be the primary cause for the evolution of the
Earth-Moon system. The average dark matter field fluid constant derived from
Earth-Moon system data is 4.39 x 10^(-22) s^(-1)m^(-1). This model predicts
that the Mars's rotation is also slowing with the angular acceleration rate
about -4.38 x 10^(-22) rad s^(-2).
| [
{
"version": "v1",
"created": "Sun, 1 Apr 2007 20:46:54 GMT"
},
{
"version": "v2",
"created": "Sat, 8 Dec 2007 23:47:24 GMT"
},
{
"version": "v3",
"created": "Sun, 13 Jan 2008 00:36:28 GMT"
}
] | 2008-01-13T00:00:00 | [
[
"Pan",
"Hongjun",
""
]
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] |
704.0004 | David Callan | David Callan | A determinant of Stirling cycle numbers counts unlabeled acyclic
single-source automata | 11 pages | null | null | null | math.CO | null | We show that a determinant of Stirling cycle numbers counts unlabeled acyclic
single-source automata. The proof involves a bijection from these automata to
certain marked lattice paths and a sign-reversing involution to evaluate the
determinant.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 03:16:14 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Callan",
"David",
""
]
] | [
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704.0005 | Alberto Torchinsky | Wael Abu-Shammala and Alberto Torchinsky | From dyadic $\Lambda_{\alpha}$ to $\Lambda_{\alpha}$ | null | Illinois J. Math. 52 (2008) no.2, 681-689 | null | null | math.CA math.FA | null | In this paper we show how to compute the $\Lambda_{\alpha}$ norm, $\alpha\ge
0$, using the dyadic grid. This result is a consequence of the description of
the Hardy spaces $H^p(R^N)$ in terms of dyadic and special atoms.
| [
{
"version": "v1",
"created": "Mon, 2 Apr 2007 18:09:58 GMT"
}
] | 2013-10-15T00:00:00 | [
[
"Abu-Shammala",
"Wael",
""
],
[
"Torchinsky",
"Alberto",
""
]
] | [
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704.0006 | Yue Hin Pong | Y. H. Pong and C. K. Law | Bosonic characters of atomic Cooper pairs across resonance | 6 pages, 4 figures, accepted by PRA | null | 10.1103/PhysRevA.75.043613 | null | cond-mat.mes-hall | null | We study the two-particle wave function of paired atoms in a Fermi gas with
tunable interaction strengths controlled by Feshbach resonance. The Cooper pair
wave function is examined for its bosonic characters, which is quantified by
the correction of Bose enhancement factor associated with the creation and
annihilation composite particle operators. An example is given for a
three-dimensional uniform gas. Two definitions of Cooper pair wave function are
examined. One of which is chosen to reflect the off-diagonal long range order
(ODLRO). Another one corresponds to a pair projection of a BCS state. On the
side with negative scattering length, we found that paired atoms described by
ODLRO are more bosonic than the pair projected definition. It is also found
that at $(k_F a)^{-1} \ge 1$, both definitions give similar results, where more
than 90% of the atoms occupy the corresponding molecular condensates.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 04:24:59 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Pong",
"Y. H.",
""
],
[
"Law",
"C. K.",
""
]
] | [
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] |
704.0007 | Alejandro Corichi | Alejandro Corichi, Tatjana Vukasinac and Jose A. Zapata | Polymer Quantum Mechanics and its Continuum Limit | 16 pages, no figures. Typos corrected to match published version | Phys.Rev.D76:044016,2007 | 10.1103/PhysRevD.76.044016 | IGPG-07/03-2 | gr-qc | null | A rather non-standard quantum representation of the canonical commutation
relations of quantum mechanics systems, known as the polymer representation has
gained some attention in recent years, due to its possible relation with Planck
scale physics. In particular, this approach has been followed in a symmetric
sector of loop quantum gravity known as loop quantum cosmology. Here we explore
different aspects of the relation between the ordinary Schroedinger theory and
the polymer description. The paper has two parts. In the first one, we derive
the polymer quantum mechanics starting from the ordinary Schroedinger theory
and show that the polymer description arises as an appropriate limit. In the
second part we consider the continuum limit of this theory, namely, the reverse
process in which one starts from the discrete theory and tries to recover back
the ordinary Schroedinger quantum mechanics. We consider several examples of
interest, including the harmonic oscillator, the free particle and a simple
cosmological model.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 04:27:22 GMT"
},
{
"version": "v2",
"created": "Wed, 22 Aug 2007 22:42:11 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Corichi",
"Alejandro",
""
],
[
"Vukasinac",
"Tatjana",
""
],
[
"Zapata",
"Jose A.",
""
]
] | [
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] |
704.0008 | Damian Swift | Damian C. Swift | Numerical solution of shock and ramp compression for general material
properties | Minor corrections | Journal of Applied Physics, vol 104, 073536 (2008) | 10.1063/1.2975338 | LA-UR-07-2051, LLNL-JRNL-410358 | cond-mat.mtrl-sci | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A general formulation was developed to represent material models for
applications in dynamic loading. Numerical methods were devised to calculate
response to shock and ramp compression, and ramp decompression, generalizing
previous solutions for scalar equations of state. The numerical methods were
found to be flexible and robust, and matched analytic results to a high
accuracy. The basic ramp and shock solution methods were coupled to solve for
composite deformation paths, such as shock-induced impacts, and shock
interactions with a planar interface between different materials. These
calculations capture much of the physics of typical material dynamics
experiments, without requiring spatially-resolving simulations. Example
calculations were made of loading histories in metals, illustrating the effects
of plastic work on the temperatures induced in quasi-isentropic and
shock-release experiments, and the effect of a phase transition.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 04:47:20 GMT"
},
{
"version": "v2",
"created": "Thu, 10 Apr 2008 08:42:28 GMT"
},
{
"version": "v3",
"created": "Tue, 1 Jul 2008 18:54:28 GMT"
}
] | 2009-02-05T00:00:00 | [
[
"Swift",
"Damian C.",
""
]
] | [
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704.0009 | Paul Harvey | Paul Harvey, Bruno Merin, Tracy L. Huard, Luisa M. Rebull, Nicholas
Chapman, Neal J. Evans II, Philip C. Myers | The Spitzer c2d Survey of Large, Nearby, Insterstellar Clouds. IX. The
Serpens YSO Population As Observed With IRAC and MIPS | null | Astrophys.J.663:1149-1173,2007 | 10.1086/518646 | null | astro-ph | null | We discuss the results from the combined IRAC and MIPS c2d Spitzer Legacy
observations of the Serpens star-forming region. In particular we present a set
of criteria for isolating bona fide young stellar objects, YSO's, from the
extensive background contamination by extra-galactic objects. We then discuss
the properties of the resulting high confidence set of YSO's. We find 235 such
objects in the 0.85 deg^2 field that was covered with both IRAC and MIPS. An
additional set of 51 lower confidence YSO's outside this area is identified
from the MIPS data combined with 2MASS photometry. We describe two sets of
results, color-color diagrams to compare our observed source properties with
those of theoretical models for star/disk/envelope systems and our own modeling
of the subset of our objects that appear to be star+disks. These objects
exhibit a very wide range of disk properties, from many that can be fit with
actively accreting disks to some with both passive disks and even possibly
debris disks. We find that the luminosity function of YSO's in Serpens extends
down to at least a few x .001 Lsun or lower for an assumed distance of 260 pc.
The lower limit may be set by our inability to distinguish YSO's from
extra-galactic sources more than by the lack of YSO's at very low luminosities.
A spatial clustering analysis shows that the nominally less-evolved YSO's are
more highly clustered than the later stages and that the background
extra-galactic population can be fit by the same two-point correlation function
as seen in other extra-galactic studies. We also present a table of matches
between several previous infrared and X-ray studies of the Serpens YSO
population and our Spitzer data set.
| [
{
"version": "v1",
"created": "Mon, 2 Apr 2007 19:41:34 GMT"
}
] | 2010-03-18T00:00:00 | [
[
"Harvey",
"Paul",
""
],
[
"Merin",
"Bruno",
""
],
[
"Huard",
"Tracy L.",
""
],
[
"Rebull",
"Luisa M.",
""
],
[
"Chapman",
"Nicholas",
""
],
[
"Evans",
"Neal J.",
"II"
],
[
"Myers",
"Philip C.",
""
]
] | [
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704.001 | Sergei Ovchinnikov | Sergei Ovchinnikov | Partial cubes: structures, characterizations, and constructions | 36 pages, 17 figures | null | null | null | math.CO | null | Partial cubes are isometric subgraphs of hypercubes. Structures on a graph
defined by means of semicubes, and Djokovi\'{c}'s and Winkler's relations play
an important role in the theory of partial cubes. These structures are employed
in the paper to characterize bipartite graphs and partial cubes of arbitrary
dimension. New characterizations are established and new proofs of some known
results are given.
The operations of Cartesian product and pasting, and expansion and
contraction processes are utilized in the paper to construct new partial cubes
from old ones. In particular, the isometric and lattice dimensions of finite
partial cubes obtained by means of these operations are calculated.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 05:10:16 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Ovchinnikov",
"Sergei",
""
]
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704.0011 | Clifton Cunningham | Clifton Cunningham and Lassina Dembele | Computing genus 2 Hilbert-Siegel modular forms over $\Q(\sqrt{5})$ via
the Jacquet-Langlands correspondence | 14 pages; title changed; to appear in Experimental Mathematics | null | null | null | math.NT math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we present an algorithm for computing Hecke eigensystems of
Hilbert-Siegel cusp forms over real quadratic fields of narrow class number
one. We give some illustrative examples using the quadratic field
$\Q(\sqrt{5})$. In those examples, we identify Hilbert-Siegel eigenforms that
are possible lifts from Hilbert eigenforms.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 05:32:49 GMT"
},
{
"version": "v2",
"created": "Tue, 19 Aug 2008 04:46:47 GMT"
},
{
"version": "v3",
"created": "Wed, 20 Aug 2008 13:15:09 GMT"
}
] | 2008-08-20T00:00:00 | [
[
"Cunningham",
"Clifton",
""
],
[
"Dembele",
"Lassina",
""
]
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704.0012 | Dohoon Choi | Dohoon Choi | Distribution of integral Fourier Coefficients of a Modular Form of Half
Integral Weight Modulo Primes | null | null | null | null | math.NT | null | Recently, Bruinier and Ono classified cusp forms $f(z) := \sum_{n=0}^{\infty}
a_f(n)q ^n \in S_{\lambda+1/2}(\Gamma_0(N),\chi)\cap \mathbb{Z}[[q]]$ that does
not satisfy a certain distribution property for modulo odd primes $p$. In this
paper, using Rankin-Cohen Bracket, we extend this result to modular forms of
half integral weight for primes $p \geq 5$. As applications of our main theorem
we derive distribution properties, for modulo primes $p\geq5$, of traces of
singular moduli and Hurwitz class number. We also study an analogue of Newman's
conjecture for overpartitions.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 05:48:51 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Choi",
"Dohoon",
""
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704.0013 | Dohoon Choi | Dohoon Choi and YoungJu Choie | $p$-adic Limit of Weakly Holomorphic Modular Forms of Half Integral
Weight | null | null | null | null | math.NT | null | Serre obtained the p-adic limit of the integral Fourier coefficient of
modular forms on $SL_2(\mathbb{Z})$ for $p=2,3,5,7$. In this paper, we extend
the result of Serre to weakly holomorphic modular forms of half integral weight
on $\Gamma_{0}(4N)$ for $N=1,2,4$. A proof is based on linear relations among
Fourier coefficients of modular forms of half integral weight. As applications
we obtain congruences of Borcherds exponents, congruences of quotient of
Eisentein series and congruences of values of $L$-functions at a certain point
are also studied. Furthermore, the congruences of the Fourier coefficients of
Siegel modular forms on Maass Space are obtained using Ikeda lifting.
| [
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] | 2008-05-26T00:00:00 | [
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704.0014 | Koichi Fujii | Koichi Fujii | Iterated integral and the loop product | 18 pages, 1 figure | null | null | null | math.CA math.AT | null | In this article we discuss a relation between the string topology and
differential forms based on the theory of Chen's iterated integrals and the
cyclic bar complex.
| [
{
"version": "v1",
"created": "Sun, 1 Apr 2007 12:04:13 GMT"
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] | 2009-09-29T00:00:00 | [
[
"Fujii",
"Koichi",
""
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704.0015 | Christian Stahn | Christian Stahn | Fermionic superstring loop amplitudes in the pure spinor formalism | 22 pages; signs and coefficients adjusted for anticommuting
superfields, section 4.3 changed accordingly, reference added | JHEP 0705:034,2007 | 10.1088/1126-6708/2007/05/034 | null | hep-th | null | The pure spinor formulation of the ten-dimensional superstring leads to
manifestly supersymmetric loop amplitudes, expressed as integrals in pure
spinor superspace. This paper explores different methods to evaluate these
integrals and then uses them to calculate the kinematic factors of the one-loop
and two-loop massless four-point amplitudes involving two and four Ramond
states.
| [
{
"version": "v1",
"created": "Mon, 2 Apr 2007 18:10:09 GMT"
},
{
"version": "v2",
"created": "Mon, 10 Mar 2008 04:18:38 GMT"
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[
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] |
704.0016 | Li Tong | Chao-Hsi Chang, Tong Li, Xue-Qian Li and Yu-Ming Wang | Lifetime of doubly charmed baryons | 17 pages, 3 figures and 1 table | Commun.Theor.Phys.49:993-1000,2008 | 10.1088/0253-6102/49/4/38 | null | hep-ph | null | In this work, we evaluate the lifetimes of the doubly charmed baryons
$\Xi_{cc}^{+}$, $\Xi_{cc}^{++}$ and $\Omega_{cc}^{+}$. We carefully calculate
the non-spectator contributions at the quark level where the Cabibbo-suppressed
diagrams are also included. The hadronic matrix elements are evaluated in the
simple non-relativistic harmonic oscillator model. Our numerical results are
generally consistent with that obtained by other authors who used the diquark
model. However, all the theoretical predictions on the lifetimes are one order
larger than the upper limit set by the recent SELEX measurement. This
discrepancy would be clarified by the future experiment, if more accurate
experiment still confirms the value of the SELEX collaboration, there must be
some unknown mechanism to be explored.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 07:04:26 GMT"
}
] | 2008-12-18T00:00:00 | [
[
"Chang",
"Chao-Hsi",
""
],
[
"Li",
"Tong",
""
],
[
"Li",
"Xue-Qian",
""
],
[
"Wang",
"Yu-Ming",
""
]
] | [
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] |
704.0017 | Nceba Mhlahlo | Nceba Mhlahlo, David H. Buckley, Vikram S. Dhillon, Steven B. Potter,
Brian Warner and Patric A. Woudt | Spectroscopic Observations of the Intermediate Polar EX Hydrae in
Quiescence | 10 pages, 11 figures (figures 3, 4, 7 and 8 at reduced resolution,
originals available on request). Accepted for publication in Monthly Notices
of the Royal Astronomical Society | Mon.Not.Roy.Astron.Soc.378:211-220,2007 | 10.1111/j.1365-2966.2007.11762.x | null | astro-ph | null | Results from spectroscopic observations of the Intermediate Polar (IP) EX Hya
in quiescence during 1991 and 2001 are presented. Spin-modulated radial
velocities consistent with an outer disc origin were detected for the first
time in an IP. The spin pulsation was modulated with velocities near ~500-600
km/s. These velocities are consistent with those of material circulating at the
outer edge of the accretion disc, suggesting corotation of the accretion
curtain with material near the Roche lobe radius. Furthermore, spin Doppler
tomograms have revealed evidence of the accretion curtain emission extending
from velocities of ~500 km/s to ~1000 km/s. These findings have confirmed the
theoretical model predictions of King & Wynn (1999), Belle et al. (2002) and
Norton et al. (2004) for EX Hya, which predict large accretion curtains that
extend to a distance close to the Roche lobe radius in this system. Evidence
for overflow stream of material falling onto the magnetosphere was observed,
confirming the result of Belle et al. (2005) that disc overflow in EX Hya is
present during quiescence as well as outburst. It appears that the hbeta and
hgamma spin radial velocities originated from the rotation of the funnel at the
outer disc edge, while those of halpha were produced due to the flow of
material along the field lines far from the white dwarf (narrow component) and
close to the white dwarf (broad-base component), in agreement with the
accretion curtain model.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 07:38:48 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Mhlahlo",
"Nceba",
""
],
[
"Buckley",
"David H.",
""
],
[
"Dhillon",
"Vikram S.",
""
],
[
"Potter",
"Steven B.",
""
],
[
"Warner",
"Brian",
""
],
[
"Woudt",
"Patric A.",
""
]
] | [
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704.0018 | Andreas Gustavsson | Andreas Gustavsson | In quest of a generalized Callias index theorem | 20 pages, v2: an overall sign and typos corrected | null | null | null | hep-th | null | We give a prescription for how to compute the Callias index, using as
regulator an exponential function. We find agreement with old results in all
odd dimensions. We show that the problem of computing the dimension of the
moduli space of self-dual strings can be formulated as an index problem in
even-dimensional (loop-)space. We think that the regulator used in this Letter
can be applied to this index problem.
| [
{
"version": "v1",
"created": "Mon, 2 Apr 2007 08:58:27 GMT"
},
{
"version": "v2",
"created": "Sat, 21 Apr 2007 17:16:20 GMT"
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] | 2007-05-23T00:00:00 | [
[
"Gustavsson",
"Andreas",
""
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704.0019 | Norio Konno | Norio Konno | Approximation for extinction probability of the contact process based on
the Gr\"obner basis | 6 pages, Journal-ref added | RIMS Kokyuroku, No.1551, pp.57-62 (2007) | null | null | math.PR math.AG | null | In this note we give a new method for getting a series of approximations for
the extinction probability of the one-dimensional contact process by using the
Gr\"obner basis.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 08:12:35 GMT"
},
{
"version": "v2",
"created": "Sat, 23 Jun 2007 19:58:14 GMT"
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] | 2007-06-23T00:00:00 | [
[
"Konno",
"Norio",
""
]
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] |
704.002 | Patrick Roudeau | The BABAR Collaboration, B. Aubert, et al | Measurement of the Hadronic Form Factor in D0 --> K- e+ nue Decays | 21 pages, 13 postscript figures, submitted to Phys. Rev. D,
contributed to 42nd Rencontres de Moriond: QCD and Hadronic Interactions | Phys.Rev.D76:052005,2007 | 10.1103/PhysRevD.76.052005 | BABAR-PUB-07/015, SLAC-PUB-12417 | hep-ex | null | The shape of the hadronic form factor f+(q2) in the decay D0 --> K- e+ nue
has been measured in a model independent analysis and compared with theoretical
calculations. We use 75 fb(-1) of data recorded by the BABAR detector at the
PEPII electron-positron collider. The corresponding decay branching fraction,
relative to the decay D0 --> K- pi+, has also been measured to be RD = BR(D0
--> K- e+ nue)/BR(D0 --> K- pi+) = 0.927 +/- 0.007 +/- 0.012. From these
results, and using the present world average value for BR(D0 --> K- pi+), the
normalization of the form factor at q2=0 is determined to be f+(0)=0.727 +/-
0.007 +/- 0.005 +/- 0.007 where the uncertainties are statistical, systematic,
and from external inputs, respectively.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 09:49:10 GMT"
}
] | 2015-06-30T00:00:00 | [
[
"The BABAR Collaboration",
"",
""
],
[
"Aubert",
"B.",
""
]
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-0.0694432184,
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-0.0087362053,
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] |
704.0021 | Yuichi Togashi | Vanessa Casagrande, Yuichi Togashi, Alexander S. Mikhailov | Molecular Synchronization Waves in Arrays of Allosterically Regulated
Enzymes | 5 pages, 4 figures | Phys. Rev. Lett. 99, 048301 (2007) | 10.1103/PhysRevLett.99.048301 | null | nlin.PS physics.chem-ph q-bio.MN | null | Spatiotemporal pattern formation in a product-activated enzymic reaction at
high enzyme concentrations is investigated. Stochastic simulations show that
catalytic turnover cycles of individual enzymes can become coherent and that
complex wave patterns of molecular synchronization can develop. The analysis
based on the mean-field approximation indicates that the observed patterns
result from the presence of Hopf and wave bifurcations in the considered
system.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 12:57:59 GMT"
},
{
"version": "v2",
"created": "Tue, 24 Jul 2007 04:01:20 GMT"
}
] | 2007-07-24T00:00:00 | [
[
"Casagrande",
"Vanessa",
""
],
[
"Togashi",
"Yuichi",
""
],
[
"Mikhailov",
"Alexander S.",
""
]
] | [
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704.0022 | Simon Malham | Simon J.A. Malham and Anke Wiese | Stochastic Lie group integrators | 20 pages, 4 figures | null | null | null | math.NA | null | We present Lie group integrators for nonlinear stochastic differential
equations with non-commutative vector fields whose solution evolves on a smooth
finite dimensional manifold. Given a Lie group action that generates transport
along the manifold, we pull back the stochastic flow on the manifold to the Lie
group via the action, and subsequently pull back the flow to the corresponding
Lie algebra via the exponential map. We construct an approximation to the
stochastic flow in the Lie algebra via closed operations and then push back to
the Lie group and then to the manifold, thus ensuring our approximation lies in
the manifold. We call such schemes stochastic Munthe-Kaas methods after their
deterministic counterparts. We also present stochastic Lie group integration
schemes based on Castell--Gaines methods. These involve using an underlying
ordinary differential integrator to approximate the flow generated by a
truncated stochastic exponential Lie series. They become stochastic Lie group
integrator schemes if we use Munthe-Kaas methods as the underlying ordinary
differential integrator. Further, we show that some Castell--Gaines methods are
uniformly more accurate than the corresponding stochastic Taylor schemes.
Lastly we demonstrate our methods by simulating the dynamics of a free rigid
body such as a satellite and an autonomous underwater vehicle both perturbed by
two independent multiplicative stochastic noise processes.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 11:05:53 GMT"
},
{
"version": "v2",
"created": "Tue, 16 Oct 2007 10:30:55 GMT"
}
] | 2007-10-16T00:00:00 | [
[
"Malham",
"Simon J. A.",
""
],
[
"Wiese",
"Anke",
""
]
] | [
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] |
704.0023 | Maria Loukitcheva | M. A. Loukitcheva, S. K. Solanki and S. White | ALMA as the ideal probe of the solar chromosphere | 4 pages, 2 figures, to appear in the proceedings of the conference
Science with ALMA: a new era for Astrophysics, Spain, 2006 | Astrophys.Space Sci.313:197-200,2008 | 10.1007/s10509-007-9626-1 | null | astro-ph | null | The very nature of the solar chromosphere, its structuring and dynamics,
remains far from being properly understood, in spite of intensive research.
Here we point out the potential of chromospheric observations at millimeter
wavelengths to resolve this long-standing problem. Computations carried out
with a sophisticated dynamic model of the solar chromosphere due to Carlsson
and Stein demonstrate that millimeter emission is extremely sensitive to
dynamic processes in the chromosphere and the appropriate wavelengths to look
for dynamic signatures are in the range 0.8-5.0 mm. The model also suggests
that high resolution observations at mm wavelengths, as will be provided by
ALMA, will have the unique property of reacting to both the hot and the cool
gas, and thus will have the potential of distinguishing between rival models of
the solar atmosphere. Thus, initial results obtained from the observations of
the quiet Sun at 3.5 mm with the BIMA array (resolution of 12 arcsec) reveal
significant oscillations with amplitudes of 50-150 K and frequencies of 1.5-8
mHz with a tendency toward short-period oscillations in internetwork and longer
periods in network regions. However higher spatial resolution, such as that
provided by ALMA, is required for a clean separation between the features
within the solar atmosphere and for an adequate comparison with the output of
the comprehensive dynamic simulations.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 11:42:13 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Loukitcheva",
"M. A.",
""
],
[
"Solanki",
"S. K.",
""
],
[
"White",
"S.",
""
]
] | [
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] |
704.0024 | Mikhail Kostylev | A.A. Serga, M. Kostylev, and B. Hillebrands | Formation of quasi-solitons in transverse confined ferromagnetic film
media | First appeared in Prof. B. Hillebrands' research group Annual Report
2005 (http://www.physik.uni-kl.de/w_hilleb/ann05.html); also presented at
Intermag'2006 Conference: M. Kostylev, A.A. Serga, and B. Hillebrands,
Digests of International Magnetic Conference, May 8-12, 2006, San Diego, USA,
FV03 (2006) | null | null | null | nlin.PS | null | The formation of quasi-2D spin-wave waveforms in longitudinally magnetized
stripes of ferrimagnetic film was observed by using time- and space-resolved
Brillouin light scattering technique. In the linear regime it was found that
the confinement decreases the amplitude of dynamic magnetization near the
lateral stripe edges. Thus, the so-called effective dipolar pinning of dynamic
magnetization takes place at the edges.
In the nonlinear regime a new stable spin wave packet propagating along a
waveguide structure, for which both transversal instability and interaction
with the side walls of the waveguide are important was observed. The
experiments and a numerical simulation of the pulse evolution show that the
shape of the formed waveforms and their behavior are strongly influenced by the
confinement.
| [
{
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"created": "Sat, 31 Mar 2007 11:44:22 GMT"
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] | 2007-05-30T00:00:00 | [
[
"Serga",
"A. A.",
""
],
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"M.",
""
],
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"B.",
""
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704.0025 | Andrei Mishchenko S | A. S. Mishchenko (1 and 2) and N. Nagaosa (1 and 3) ((1) CREST, Japan
Science and Technology Agency, (2) Russian Research Centre ``Kurchatov
Institute'', (3) The University of Tokyo) | Spectroscopic Properties of Polarons in Strongly Correlated Systems by
Exact Diagrammatic Monte Carlo Method | 41 pages, 13 figures, in "Polarons in Advanced Materials" ed. A. S.
Alexandrov (Canopus/Springer Publishing, Bristol (2007)), pp. 503-544. | null | 10.1007/978-1-4020-6348-0_12 | null | cond-mat.str-el cond-mat.stat-mech | null | We present recent advances in understanding of the ground and excited states
of the electron-phonon coupled systems obtained by novel methods of
Diagrammatic Monte Carlo and Stochastic Optimization, which enable the
approximation-free calculation of Matsubara Green function in imaginary times
and perform unbiased analytic continuation to real frequencies. We present
exact numeric results on the ground state properties, Lehmann spectral function
and optical conductivity of different strongly correlated systems: Frohlich
polaron, Rashba-Pekar exciton-polaron, pseudo Jahn-Teller polaron, exciton, and
interacting with phonons hole in the t-J model.
| [
{
"version": "v1",
"created": "Mon, 2 Apr 2007 12:02:36 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Mishchenko",
"A. S.",
"",
"1 and 2"
],
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"N.",
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] |
704.0026 | Robert P. C. de Marrais | Robert P. C. de Marrais | Placeholder Substructures II: Meta-Fractals, Made of Box-Kites, Fill
Infinite-Dimensional Skies | 31 pp. Second of 3-part "theorem/proof" exposition of 78-slide
Powerpoint from Wolfram Science's NKS 2006, available at
http://wolframscience.com/conference/2006/presentations/materials/demarrais.ppt
[v2: small fixes][v3: Added new Appendix B and small number of corrections
(pp. 7, 14, 20) RE: 2nd type of box-kite flow pattern.] | null | null | null | math.RA | null | Zero-divisors (ZDs) derived by Cayley-Dickson Process (CDP) from
N-dimensional hypercomplex numbers (N a power of 2, at least 4) can represent
singularities and, as N approaches infinite, fractals -- and thereby,scale-free
networks. Any integer greater than 8 and not a power of 2 generates a
meta-fractal or "Sky" when it is interpreted as the "strut constant" (S) of an
ensemble of octahedral vertex figures called "Box-Kites" (the fundamental
building blocks of ZDs). Remarkably simple bit-manipulation rules or "recipes"
provide tools for transforming one fractal genus into others within the context
of Wolfram's Class 4 complexity.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 12:24:06 GMT"
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{
"version": "v2",
"created": "Sun, 8 Apr 2007 14:07:19 GMT"
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{
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"created": "Thu, 22 Nov 2007 01:13:37 GMT"
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] |
704.0027 | M. O. Goerbig | M. O. Goerbig, J.-N. Fuchs, K. Kechedzhi, Vladimir I. Fal'ko | Filling-Factor-Dependent Magnetophonon Resonance in Graphene | 4 pages, 2 figures; mistakes due to an erroneous electron-phonon
coupling constant have been corrected; mode splitting is larger than
originally expected | Phys. Rev. Lett. 99, 087402 (2007) | 10.1103/PhysRevLett.99.087402 | null | cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a peculiar fine structure acquired by the in-plane optical phonon
at the Gamma-point in graphene when it is brought into resonance with one of
the inter-Landau-level transitions in this material. The effect is most
pronounced when this lattice mode (associated with the G-band in graphene Raman
spectrum) is in resonance with inter-Landau-level transitions 0 -> (+,1) and
(-,1) -> 0, at a magnetic field B_0 ~ 30 T. It can be used to measure the
strength of the electron-phonon coupling directly, and its filling-factor
dependence can be used experimentally to detect circularly polarized lattice
modes.
| [
{
"version": "v1",
"created": "Mon, 2 Apr 2007 19:17:14 GMT"
},
{
"version": "v2",
"created": "Mon, 9 Apr 2007 16:48:39 GMT"
},
{
"version": "v3",
"created": "Tue, 28 Aug 2007 13:21:50 GMT"
},
{
"version": "v4",
"created": "Thu, 24 Sep 2009 12:40:18 GMT"
}
] | 2009-09-24T00:00:00 | [
[
"Goerbig",
"M. O.",
""
],
[
"Fuchs",
"J. -N.",
""
],
[
"Kechedzhi",
"K.",
""
],
[
"Fal'ko",
"Vladimir I.",
""
]
] | [
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] |
704.0028 | P\'eter E. Frenkel | P\'eter E. Frenkel | Pfaffians, hafnians and products of real linear functionals | 10 pages | Math. Res. Lett. 15 (2008), no. 2, 351--358 | null | null | math.CA math.PR | null | We prove pfaffian and hafnian versions of Lieb's inequalities on determinants
and permanents of positive semi-definite matrices. We use the hafnian
inequality to improve the lower bound of R\'ev\'esz and Sarantopoulos on the
norm of a product of linear functionals on a real Euclidean space (this subject
is sometimes called the `real linear polarization constant' problem).
| [
{
"version": "v1",
"created": "Mon, 2 Apr 2007 15:36:29 GMT"
},
{
"version": "v2",
"created": "Tue, 26 Feb 2008 14:40:04 GMT"
}
] | 2014-07-31T00:00:00 | [
[
"Frenkel",
"Péter E.",
""
]
] | [
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] |
704.0029 | Weizhen Deng | Zhan Shu, Xiao-Lin Chen and Wei-Zhen Deng | Understanding the Flavor Symmetry Breaking and Nucleon Flavor-Spin
Structure within Chiral Quark Model | null | Phys.Rev.D75:094018,2007 | 10.1103/PhysRevD.75.094018 | null | hep-ph | null | In $\XQM$, a quark can emit Goldstone bosons. The flavor symmetry breaking in
the Goldstone boson emission process is used to intepret the nucleon
flavor-spin structure. In this paper, we study the inner structure of
constituent quarks implied in $\XQM$ caused by the Goldstone boson emission
process in nucleon. From a simplified model Hamiltonian derived from $\XQM$,
the intrinsic wave functions of constituent quarks are determined. Then the
obtained transition probabilities of the emission of Goldstone boson from a
quark can give a reasonable interpretation to the flavor symmetry breaking in
nucleon flavor-spin structure.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 14:10:06 GMT"
},
{
"version": "v2",
"created": "Thu, 26 Apr 2007 08:27:20 GMT"
}
] | 2010-04-23T00:00:00 | [
[
"Shu",
"Zhan",
""
],
[
"Chen",
"Xiao-Lin",
""
],
[
"Deng",
"Wei-Zhen",
""
]
] | [
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] |
704.003 | Jim Hague | J.P.Hague and N.d'Ambrumenil | Tuning correlation effects with electron-phonon interactions | Reprint to improve access. 13 pages, 6 figures. | J. Low. Temp. Phys. Vol. 140 pp77-89 (2005) | 10.1007/s10909-005-6013-6 | null | cond-mat.str-el | null | We investigate the effect of tuning the phonon energy on the correlation
effects in models of electron-phonon interactions using DMFT. In the regime
where itinerant electrons, instantaneous electron-phonon driven correlations
and static distortions compete on similar energy scales, we find several
interesting results including (1) A crossover from band to Mott behavior in the
spectral function, leading to hybrid band/Mott features in the spectral
function for phonon frequencies slightly larger than the band width. (2) Since
the optical conductivity depends sensitively on the form of the spectral
function, we show that such a regime should be observable through the low
frequency form of the optical conductivity. (3) The resistivity has a double
kondo peak arrangement
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 14:14:18 GMT"
}
] | 2015-05-13T00:00:00 | [
[
"Hague",
"J. P.",
""
],
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"d'Ambrumenil",
"N.",
""
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704.0031 | Valery M. Biryukov | V. M. Biryukov (Serpukhov, IHEP) | Crystal channeling of LHC forward protons with preserved distribution in
phase space | 11 pages, 3 figures | Phys.Lett.B658:7-12,2007 | 10.1016/j.physletb.2007.10.051 | null | hep-ph | null | We show that crystal can trap a broad (x, x', y, y', E) distribution of
particles and channel it preserved with a high precision. This sampled-and-hold
distribution can be steered by a bent crystal for analysis downstream. In
simulations for the 7 TeV Large Hadron Collider, a crystal adapted to the
accelerator lattice traps 90% of diffractively scattered protons emerging from
the interaction point with a divergence 100 times the critical angle. We set
the criterion for crystal adaptation improving efficiency ~100-fold. Proton
angles are preserved in crystal transmission with accuracy down to 0.1
microrad. This makes feasible a crystal application for measuring very forward
protons at the LHC.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 14:14:46 GMT"
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] | 2008-11-26T00:00:00 | [
[
"Biryukov",
"V. M.",
"",
"Serpukhov, IHEP"
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704.0032 | Andreu Esteban-Pretel | A. Esteban-Pretel, R. Tom\`as and J. W. F. Valle | Probing non-standard neutrino interactions with supernova neutrinos | 21 pages, 12 figures, 17 postscript files | Phys.Rev.D76:053001,2007 | 10.1103/PhysRevD.76.053001 | null | hep-ph | null | We analyze the possibility of probing non-standard neutrino interactions
(NSI, for short) through the detection of neutrinos produced in a future
galactic supernova (SN).We consider the effect of NSI on the neutrino
propagation through the SN envelope within a three-neutrino framework, paying
special attention to the inclusion of NSI-induced resonant conversions, which
may take place in the most deleptonised inner layers. We study the possibility
of detecting NSI effects in a Megaton water Cherenkov detector, either through
modulation effects in the $\bar\nu_e$ spectrum due to (i) the passage of shock
waves through the SN envelope, (ii) the time dependence of the electron
fraction and (iii) the Earth matter effects; or, finally, through the possible
detectability of the neutronization $\nu_e$ burst. We find that the $\bar\nu_e$
spectrum can exhibit dramatic features due to the internal NSI-induced resonant
conversion. This occurs for non-universal NSI strengths of a few %, and for
very small flavor-changing NSI above a few$\times 10^{-5}$.
| [
{
"version": "v1",
"created": "Mon, 2 Apr 2007 18:35:33 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Esteban-Pretel",
"A.",
""
],
[
"Tomàs",
"R.",
""
],
[
"Valle",
"J. W. F.",
""
]
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704.0033 | Maxim A. Yurkin | Maxim A. Yurkin, Valeri P. Maltsev, Alfons G. Hoekstra | Convergence of the discrete dipole approximation. I. Theoretical
analysis | 23 pages, 5 figures; added several corrections according to the
published erratum except for Eq.(6) (it was correct in the original paper)
and with additional correction in Eq.(96)
[$\bar{\mathbf{G}}(...)\mathbf{P}_i^s -\bar{\mathbf{G}}^s(...)\mathbf{P}_i^p$
instead of $(\bar{\mathbf{G}}(...) - \bar{\mathbf{G}}^s(...))\mathbf{P}_i^s$] | J.Opt.Soc.Am.A 23, 2578-2591 (2006); Erratum: J.Opt.Soc.Am.A 32,
2407-2408 (2015) | 10.1364/JOSAA.23.002578 10.1364/JOSAA.32.002407 | null | physics.optics physics.comp-ph | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We performed a rigorous theoretical convergence analysis of the discrete
dipole approximation (DDA). We prove that errors in any measured quantity are
bounded by a sum of a linear and quadratic term in the size of a dipole d, when
the latter is in the range of DDA applicability. Moreover, the linear term is
significantly smaller for cubically than for non-cubically shaped scatterers.
Therefore, for small d errors for cubically shaped particles are much smaller
than for non-cubically shaped. The relative importance of the linear term
decreases with increasing size, hence convergence of DDA for large enough
scatterers is quadratic in the common range of d. Extensive numerical
simulations were carried out for a wide range of d. Finally we discuss a number
of new developments in DDA and their consequences for convergence.
| [
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[
"Yurkin",
"Maxim A.",
""
],
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"Maltsev",
"Valeri P.",
""
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""
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704.0034 | Vasily Ogryzko V | Vasily Ogryzko | Origin of adaptive mutants: a quantum measurement? | 5 pages | null | null | null | q-bio.PE q-bio.CB quant-ph | null | This is a supplement to the paper arXiv:q-bio/0701050, containing the text of
correspondence sent to Nature in 1990.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 15:36:48 GMT"
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[
"Ogryzko",
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704.0035 | Maxim A. Yurkin | Maxim A. Yurkin, Valeri P. Maltsev, Alfons G. Hoekstra | Convergence of the discrete dipole approximation. II. An extrapolation
technique to increase the accuracy | 17 pages, 8 figures | J.Opt.Soc.Am.A 23(10): 2592-2601 (2006) | 10.1364/JOSAA.23.002592 | null | physics.optics physics.comp-ph | null | We propose an extrapolation technique that allows accuracy improvement of the
discrete dipole approximation computations. The performance of this technique
was studied empirically based on extensive simulations for 5 test cases using
many different discretizations. The quality of the extrapolation improves with
refining discretization reaching extraordinary performance especially for
cubically shaped particles. A two order of magnitude decrease of error was
demonstrated. We also propose estimates of the extrapolation error, which were
proven to be reliable. Finally we propose a simple method to directly separate
shape and discretization errors and illustrated this for one test case.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 15:52:56 GMT"
}
] | 2008-07-29T00:00:00 | [
[
"Yurkin",
"Maxim A.",
""
],
[
"Maltsev",
"Valeri P.",
""
],
[
"Hoekstra",
"Alfons G.",
""
]
] | [
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] |
704.0036 | Eduardo D. Sontag | Liming Wang and Eduardo D. Sontag | A remark on the number of steady states in a multiple futile cycle | Resubmit with new results on the upper bound of the number of steady
states. 20 pages, 2 figures, See
http://www.math.rutgers.edu/~sontag/PUBDIR/index.html for online preprints
and reprints of related work | null | null | null | q-bio.QM q-bio.MN | null | The multisite phosphorylation-dephosphorylation cycle is a motif repeatedly
used in cell signaling. This motif itself can generate a variety of dynamic
behaviors like bistability and ultrasensitivity without direct positive
feedbacks. In this paper, we study the number of positive steady states of a
general multisite phosphorylation-dephosphorylation cycle, and how the number
of positive steady states varies by changing the biological parameters. We show
analytically that (1) for some parameter ranges, there are at least n+1 (if n
is even) or n (if n is odd) steady states; (2) there never are more than 2n-1
steady states (in particular, this implies that for n=2, including single
levels of MAPK cascades, there are at most three steady states); (3) for
parameters near the standard Michaelis-Menten quasi-steady state conditions,
there are at most n+1 steady states; and (4) for parameters far from the
standard Michaelis-Menten quasi-steady state conditions, there is at most one
steady state.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 15:55:50 GMT"
},
{
"version": "v2",
"created": "Fri, 20 Jul 2007 01:25:10 GMT"
}
] | 2011-11-09T00:00:00 | [
[
"Wang",
"Liming",
""
],
[
"Sontag",
"Eduardo D.",
""
]
] | [
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] |
704.0037 | Maxim A. Yurkin | Maxim A. Yurkin, Valeri P. Maltsev, Alfons G. Hoekstra | The discrete dipole approximation for simulation of light scattering by
particles much larger than the wavelength | 13 pages, 10 figures | J.Quant.Spectrosc.Radiat.Transf. 106, 546-557 (2007) | 10.1016/j.jqsrt.2007.01.033 | null | physics.optics physics.comp-ph | null | In this manuscript we investigate the capabilities of the Discrete Dipole
Approximation (DDA) to simulate scattering from particles that are much larger
than the wavelength of the incident light, and describe an optimized publicly
available DDA computer program that processes the large number of dipoles
required for such simulations. Numerical simulations of light scattering by
spheres with size parameters x up to 160 and 40 for refractive index m=1.05 and
2 respectively are presented and compared with exact results of the Mie theory.
Errors of both integral and angle-resolved scattering quantities generally
increase with m and show no systematic dependence on x. Computational times
increase steeply with both x and m, reaching values of more than 2 weeks on a
cluster of 64 processors. The main distinctive feature of the computer program
is the ability to parallelize a single DDA simulation over a cluster of
computers, which allows it to simulate light scattering by very large
particles, like the ones that are considered in this manuscript. Current
limitations and possible ways for improvement are discussed.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 16:06:05 GMT"
}
] | 2007-05-23T00:00:00 | [
[
"Yurkin",
"Maxim A.",
""
],
[
"Maltsev",
"Valeri P.",
""
],
[
"Hoekstra",
"Alfons G.",
""
]
] | [
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] |
704.0038 | Maxim A. Yurkin | Maxim A. Yurkin, Alfons G. Hoekstra | The discrete dipole approximation: an overview and recent developments | 36 pages, 1 figure; added several corrections according to the
published erratum except for Eq.(5) (it was correct in the original paper) | J.Quant.Spectrosc.Radiat.Transf. 106, 558-589 (2007); Erratum:
J.Quant.Spectrosc.Radiat.Transf. 171, 82-83 (2016) | 10.1016/j.jqsrt.2007.01.034 10.1016/j.jqsrt.2015.11.025 | null | physics.optics physics.comp-ph | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We present a review of the discrete dipole approximation (DDA), which is a
general method to simulate light scattering by arbitrarily shaped particles. We
put the method in historical context and discuss recent developments, taking
the viewpoint of a general framework based on the integral equations for the
electric field. We review both the theory of the DDA and its numerical aspects,
the latter being of critical importance for any practical application of the
method. Finally, the position of the DDA among other methods of light
scattering simulation is shown and possible future developments are discussed.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 16:25:01 GMT"
},
{
"version": "v2",
"created": "Tue, 29 Mar 2022 17:39:15 GMT"
}
] | 2022-03-30T00:00:00 | [
[
"Yurkin",
"Maxim A.",
""
],
[
"Hoekstra",
"Alfons G.",
""
]
] | [
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] |
704.0039 | Jose Antonio Oller | Jose A. Oller and Luis Roca | Scalar radius of the pion and zeros in the form factor | 18 pages, 3 figures. Some rewriting in the presentation of the
results and comments to previous works | Phys.Lett.B651:139-146,2007 | 10.1016/j.physletb.2007.06.023 | null | hep-ph hep-lat nucl-th | null | The quadratic pion scalar radius, \la r^2\ra^\pi_s, plays an important role
for present precise determinations of \pi\pi scattering. Recently, Yndur\'ain,
using an Omn\`es representation of the null isospin(I) non-strange pion scalar
form factor, obtains \la r^2\ra^\pi_s=0.75\pm 0.07 fm^2. This value is larger
than the one calculated by solving the corresponding Muskhelishvili-Omn\`es
equations, \la r^2\ra^\pi_s=0.61\pm 0.04 fm^2. A large discrepancy between both
values, given the precision, then results. We reanalyze Yndur\'ain's method and
show that by imposing continuity of the resulting pion scalar form factor under
tiny changes in the input \pi\pi phase shifts, a zero in the form factor for
some S-wave I=0 T-matrices is then required. Once this is accounted for, the
resulting value is \la r^2\ra_s^\pi=0.65\pm 0.05 fm^2. The main source of error
in our determination is present experimental uncertainties in low energy S-wave
I=0 \pi\pi phase shifts. Another important contribution to our error is the not
yet settled asymptotic behaviour of the phase of the scalar form factor from
QCD.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 17:06:06 GMT"
},
{
"version": "v2",
"created": "Wed, 25 Apr 2007 11:14:41 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Oller",
"Jose A.",
""
],
[
"Roca",
"Luis",
""
]
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] |
704.004 | Mihai Popa | Mihai Popa | Multilinear function series in conditionally free probability with
amalgamation | Final version, published | null | null | null | math.OA math.FA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As in the cases of freeness and monotonic independence, the notion of
conditional freeness is meaningful when complex-valued states are replaced by
positive conditional expectations. In this framework, the paper presents
several positivity results, a version of the central limit theorem and an
analogue of the conditionally free R-transform constructed by means of
multilinear function series.
| [
{
"version": "v1",
"created": "Sat, 31 Mar 2007 17:05:04 GMT"
},
{
"version": "v2",
"created": "Wed, 18 Apr 2007 23:00:25 GMT"
},
{
"version": "v3",
"created": "Fri, 5 Sep 2008 03:11:45 GMT"
}
] | 2008-09-05T00:00:00 | [
[
"Popa",
"Mihai",
""
]
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This dataset is a curated subset of the original arXiv dataset, each entry enriched with a 256-dimensional embedding vector. The embeddings are generated using OpenAI's "text-embedding-3-small" model. For each data point, the embedding is created by concatenating the text of the title, author(s), and abstract into a single string, which is then processed by the embedding model. This approach captures the semantic essence of each document, facilitating tasks such as similarity search, clustering, and recommendation systems based on content relevance. The dataset is designed for use in advanced machine learning applications that require an understanding of document content at a granular level.
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