title
stringlengths 1
260
| abstract
stringlengths 6
491
|
|---|---|
Gauge coupling unification and light Exotica in String Theory | In this letter we consider the consequences for the LHC of light vector-like
exotica with fractional electric charge. It is shown that such states are found
in orbifold constructions of the heterotic string. Moreover, these exotica are
consistent with gauge coupling unification at one loop, even though they do not
come in complete multiplets of SU(5).
|
Measure of the Julia Set of the Feigenbaum map with infinite criticality | We consider fixed points of the Feigenbaum (periodic-doubling) operator whose
orders tend to infinity. It is known that the hyperbolic dimension of their
Julia sets go to 2. We prove that the Lebesgue measure of these Julia sets tend
to zero. An important part of the proof consists in applying martingale theory
to a stochastic process with non-integrable increments.
|
Decomposition of spaces of distributions induced by Hermite expansions | Decomposition systems with rapidly decaying elements (needlets) based on
Hermite functions are introduced and explored. It is proved that the
Triebel-Lizorkin and Besov spaces on $\R^d$ induced by Hermite expansions can
be characterized in terms of the needlet coefficients. It is also shown that
the Hermite Triebel-Lizorkin and Besov spaces are, in general, different from
the respective classical spaces.
|
Dark energy, cosmological constant and neutrino mixing | The today estimated value of dark energy can be achieved by the vacuum
condensate induced by neutrino mixing phenomenon. Such a tiny value is
recovered for a cut-off of the order of Planck scale and it is linked to the
sub eV neutrino mass scale. Contributions to dark energy from auxiliary fields
or mechanisms are not necessary in this approach.
|
The Four-Loop Dressing Phase of N=4 SYM | We compute the dilatation generator in the su(2) sector of planar N=4 super
Yang-Mills theory at four-loops. We use the known world-sheet scattering matrix
to constrain the structure of the generator. The remaining few coefficients can
be computed directly from Feynman diagrams. This allows us to confirm previous
conjectures for the leading contribution to the dressing phase which is
proportional to zeta(3).
|
The Cuntz semigroup as an invariant for C*-algebras | A category is described to which the Cuntz semigroup belongs and as a functor
into which it preserves inductive limits.
|
Y(5S): What has been learned and what can be learned | We present recent measurements of B and B^0_s production using data collected
on the Y(5S) resonance at CLEO and Belle. We also briefly discuss what can be
learned using sufficiently larger data samples in the future.
|
Recoilless resonant neutrino experiment and origin of neutrino
oscillations | We demonstrate that an experiment with recoilless resonant emission and
absorption of tritium antineutrinos could have an important impact on our
understanding of the origin of neutrino oscillations.
|
Reply to Comment arXiv:0704.3529v1 | In this reply, we show that the author of the Comment arXiv:0704.3529v1
inadvertently provides additional arguments against the use of Hardy functions
as test functions for the Gamow states.
|
Algorithms for laying points optimally on a plane and a circle | Two averaging algorithms are considered which are intended for choosing an
optimal plane and an optimal circle approximating a group of points in
three-dimensional Euclidean space.
|
The Australia Telescope campaign to study southern class I methanol
masers | The Australia Telescope Compact Array (ATCA) and the Mopra facility have been
used to search for new southern class I methanol masers at 9.9, 25 (J=5) and
104 GHz, which are thought to trace more energetic conditions in the interface
regions of molecular outflows, than the widespread class I masers at 44 and 95
GHz. One source shows a clear outflow association.
|
Optical Bistability in Nonlinear Optical Coupler with Negative Index
Channel | We discuss a novel kind of nonlinear coupler with one channel filled with a
negative index material (NIM). The opposite directionality of the phase
velocity and the energy flow in the NIM channel facilitates an effective
feedback mechanism that leads to optical bistability and gap soliton formation.
|
Sub-ballistic behavior in quantum systems with L\'evy noise | We investigate the quantum walk and the quantum kicked rotor in resonance
subjected to noise with a L\'evy waiting time distribution. We find that both
systems have a sub-ballistic wave function spreading as shown by a power-law
tail of the standard deviation.
|
On the Dirac-Infeld-Plebanski delta function | The present work is a brief review of the progressive search of improper
delta-functions which are of interest in Quantum Mechanics and in the problem
of motion in General Relativity Theory.
|
The Truth About Ballistic Coefficients | The ballistic coefficient of a bullet describes how it slows in flight due to
air resistance. This article presents experimental determinations of ballistic
coefficients showing that the majority of bullets tested have their previously
published ballistic coefficients exaggerated from 5-25% by the bullet
manufacturers. These exaggerated ballistic coefficients lead to inaccurate
predictions of long range bullet drop, retained energy and wind drift.
|
An Acoustic Method for Determining Ballistic Coefficients | This paper presents a method for using a PC soundcard, microphone and a
chronograph to determine bullet BC with an accuracy of 6%. This is useful when
a second chronograph is unavailable or when the projectile accuracy is
insufficient to use a far chronograph.
|
Kinetic k-essence and Quintessence | Dark energy models with non-canonical kinetic energy terms, k-essence, can
have dynamical and sound speed properties distinct from canonical scalar
fields, quintessence. Concentrating on purely kinetic term Lagrangians, which
can be technically natural, we investigate limits on the equation of state
dynamics and sound speed behaviors and the extent to which these models can be
separated from quintessence.
|
Large deviations for multidimensional SDEs with reflection | The large deviations principles are established for a class of
multidimensional degenerate stochastic differential equations with reflecting
boundary conditions. The results include two cases where the initial conditions
are adapted and anticipated.
|
Invariants via word for curves and fronts | We construct the infinite sequence of invariants for curves in surfaces by
using word theory that V. Turaev introduced. For plane closed curves, we add
some extra terms, e.g. the rotation number. From these modified invariants, we
get the Arnold's basic invariants and some other invariants. We also express
how these invariants classify plane closed curves. In addition, we consider
other classes of plane curves: long curves and fronts.
|
Reflection subgroups of Coxeter groups | We use geometry of Davis complex of a Coxeter group to prove the following
result: if G is an infinite indecomposable Coxeter group and $H\subset G$ is a
finite index reflection subgroup then the rank of H is not less than the rank
of G. This generalizes results of math/0305093. We also describe some
properties of the nerves of the group and the subgroup in the case of equal
ranks.
|
The Integrals of Motion for the Deformed Virasoro Algebra | We explicitly construct two classes of infinitly many commutative operators
in terms of the deformed Virasoro algebra. We call one of them local integrals
and the other nonlocal one, since they can be regarded as elliptic deformations
of the local and nonlocal integrals of motion obtained by V.Bazhanov,
S.Lukyanov and Al.Zamolodchikov.
|
Higher order asymptotic formulas for Toeplitz matrices with symbols in
generalized H\"older spaces | We prove higher order asymptotic formulas for determinants and traces of
finite block Toeplitz matrices generated by matrix functions belonging to
generalized H\"older spaces with characteristic functions from the
Bari-Stechkin class. We follow the approach of B\"ottcher and Silbermann and
generalize their results for symbols in standard H\"older spaces.
|
Optimal relocation strategies for spatially mobile consumers | We develop a model of the behaviour of a dynamically optimizing economic
agent who makes consumption-saving and spatial relocation decisions. We
formulate an existence result for the model, derive the necessary conditions
for optimality and study the behaviour of the economic agent, focusing on the
case of a wage distribution with a single maximum.
|
Existence and uniqueness of optimal maps on Alexandrov spaces | The purpose of this paper is to show that in a finite dimensional metric
space with Alexandrov's curvature bounded below, Monge's transport problem for
the quadratic cost admits a unique solution.
|
Experimental local realism tests without fair sampling assumption | Following the theoretical suggestion of Ref. [1,2], we present experimental
results addressed to test restricted families of local realistic models, but
without relying on the fair sampling assumption.
|
On Black Hole Remnants | We introduce two models for a planck scale black hole remnant (Planckon),
which can hold arbitrarily large information, while keeping a vanishing
coupling and discuss their physical properties.
|
On a two-dimensional analog of Szemeredi's Theorem in Abelian groups | Let G be a finite Abelian group and A be a subset G\times G of cardinality at
least |G|^2/(log log |G|)^c, where c>0 is an absolute constant. We prove that A
contains a triple {(k,m), (k+d,m), (k,m+d)}, where d does not equal 0. This
theorem is a two-dimensional generalization of Szemeredi's theorem on
arithmetic progressions.
|
The level 1 case of Serre's conjecture revisited | We prove existence of conjugate Galois representations, and we use it to
derive a simple method of weight reduction. As a consequence, an alternative
proof of the level 1 case of Serre's conjecture follows.
|
The accessory parameter problem in positive characteristic | We study the existence of Fuchsian differential equations in positive
characteristic with nilpotent p-curvature, and given local invariants. In the
case of differential equations with logarithmic local mononodromy, we determine
the minimal possible degree of a polynomial solution.
|
Bianchi Type-I Cosmological Models with Variable G and 4\Lambda$-Terms
in General Relativity | Einstein's field equations with variable gravitational and cosmological
``constant'' are considered in presence of perfect fluid for Bianchi type-I
spacetime. Consequences of the four cases of the phenomenological decay of
$\Lambda$ have been discussed which are consistent with observations. The
physical significance of the cosmological models have also been discussed.
|
Simple connectedness of quasitilted algebras | Let A be a basic connected finite dimensional algebra over an algebraically
closed field. Assuming that A is quasitilted, we prove that A is simply
connected if and only if its first Hochschild cohomology group HH^1(A)
vanishes. This generalises a result of I. Assem, F.U. Coelho and S. Trepode and
which proves the same equivalence for tame quasitilted algebras.
|
Penguin-mediated B_(d,s)->VV decays and the Bs - anti-Bs mixing angle | In this letter, we propose three different strategies to extract the weak
mixing angle phi_s of the Bs system using penguin-mediated decays into vectors,
mainly Bs->K*K*, Bs->phi K* and Bs->phi phi. We also provide predictions for
the longitudinal branching ratio and CP-asymmetries of Bs->K*K* using a method
that combines QCD factorisation with flavour symmetries to relate this decay to
its Bd counterpart.
|
The Dark Matter Puzzle And Other Issues | We consider the problem of the flattening of the velocity curves in galactic
discs and the consequent postulation of dark matter from three different but
converging perspectives-- a change in the large scale dimensionality of space,
a variation of $G$ and the MOND approach. We also discuss the paradigm of the
universe itself being a Black Hole.
|
SN Shock Evolution in the Circumstellar Medium surrounding SN 1987A | We study the structure of the circumstellar medium surrounding SN 1987A in
the equatorial plane. Furthermore, we study the evolution of the SN shock
within this medium during the first 25 years, and the resulting hard X-ray and
radio emission from the remnant.
|
Adjoints of composition operators with rational symbol | Building on techniques developed by Cowen and Gallardo-Guti\'{e}rrez, we find
a concrete formula for the adjoint of a composition operator with rational
symbol acting on the Hardy space $H^{2}$. We consider some specific examples,
comparing our formula with several results that were previously known.
|
On the noncommutative standard model | We propose a pedestrian review of the noncommutative standard model in its
present state.
|
On the blow-up threshold for weakly coupled nonlinear Schroedinger
equations | We study the Cauchy problem for a system of two coupled nonlinear focusing
Schroedinger equations arising in nonlinear optics. We discuss when the
solutions are global in time or blow-up in finite time. Some results, in
dependence of the data of the problem, are proved; in particular we give a
bound, depending on the coupling parameter, for the blow-up threshold.
|
Colors Of Graphite On Silicon Dioxide | Monoatomic layers of graphite can be electrically contacted and used as
building blocks for new promising devices. These experiment are today possible
thanks to the fact that very thin graphite can be identified on a dielectric
substrate using a simple optical microscope. We investigate the mechanism
behind the strong visibility of graphite and we discuss the importance of the
substrate and of the microcope objective used for the imaging.
|
The Extended Bloch Group and the Cheeger-Chern-Simons Class | We present a formula for the full Cheeger-Chern-Simons class of the
tautological flat complex vector bundle of rank two over BSL(2,\C^\delta). Our
formula improves the formula by Dupont and Zickert, where the class is only
computed modulo 2-torsion.
|
Survival of a diffusing particle in an expanding cage | We consider a Brownian particle, with diffusion constant D, moving inside an
expanding d-dimensional sphere whose surface is an absorbing boundary for the
particle. The sphere has initial radius L_0 and expands at a constant rate c.
We calculate the joint probability density, p(r,t|r_0), that the particle
survives until time t, and is at a distance r from the centre of the sphere,
given that it started at a distance r_0 from the centre.
|
Rothberger's property in finite powers | We show that several classical Ramseyan statements, and a forcing statement,
are each equivalent to having Rothberger's property in all finite powers.
|
Strong Stein neighborhood bases | Let D be a smooth bounded pseudoconvex domain in C^n. We give several
characterizations for the closure of D to have a strong Stein neighborhood
basis in the sense that D has a defining function r such that {z\in C^n:r(z)<a}
is pseudoconvex for sufficiently small a>0. We also show that this condition is
invariant under proper holomorphic maps that extend smoothly to the boundary.
|
Space-time resolved electrokinetics in cylindrical and semi-cylindrical
microchannels | It is shown show how to employ Bessel-Fourier series in order to obtain a
complete space-time resolved description of electrokinetic phenomena in
cylindrical and semi-cylindrical microfluidic channels.
|
Fast quantum key distribution with decoy number states | We investigate the use of photon number states to identify eavesdropping
attacks on quantum key distribution (QKD) schemes. The technique is based on
the fact that different photon numbers traverse a channel with different
transmittivity. We then describe two QKD schemes that utilize this method, one
of which overcomes the upper limit on the key generation rate imposed by the
dead time of detectors when using a heralded source of photons.
|
Bijectiveness of the Nash Map for Quasi-Ordinary Hypersurface
Singularities | In this paper we give a positive answer to a question of Nash concerning the
arc space of a singularity, for the class of quasi-ordinary hypersurface
singularities, extending to this case previous results and techniques of
Shihoko Ishii.
|
Subrings of the asymptotic Hecke algebra of type $H_4$ | The structure of subring $J^{\Gamma \cap \Gamma^{-1}}$ of the asymptotic
Hecke algebra is described for $\Gamma$ a left cell of the Coxeter group of
type $H_4$. A small set of generators is produced. The subalgebras spanned by a
subset of the basis ${t_x}_{x\in \Gamma\cap\Gamma^{-1}}$ are determined.
|
Terahertz Room-Temperature Photonic Crystal Nanocavity Laser | We describe an efficient surface-passivated photonic crystal nanocavity
laser, demonstrating room-temperature operation with 3-ps total pulse duration
(detector response limited) and low-temperature operation with
ultra-low-threshold near 9uW.
|
Displacement energy of coisotropic submanifolds and Hofer's geometry | We prove that the displacement energy of a stable coisotropic submanifold is
bounded away from zero if the ambient symplectic manifold is closed, rational
and satisfies a mild topological condition.
|
Quark mass uncertainties revive KSVZ axion dark matter | The Kaplan-Manohar ambiguity in light quark masses allows for a larger
uncertainty in the ratio of up to down quark masses than naive estimates from
the chiral Lagrangian would indicate. We show that it allows for a relaxation
of experimental bounds on the QCD axion, specifically KSVZ axions in the $2-3
\mu$eV mass range composing 100% of the galactic dark matter halo can evade the
experimental limits placed by the ADMX collaboration.
|
The momentum map in Poisson geometry | Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a
Hamiltonian action on its symplectic groupoid which has a canonically defined
momentum map. We study various properties of this momentum map as well as its
use in reduction.
|
Fuzzy Torus via q-Parafermion | We note that the recently introduced fuzzy torus can be regarded as a
q-deformed parafermion. Based on this picture, classification of the Hermitian
representations of the fuzzy torus is carried out. The result involves
Fock-type representations and new finite dimensional representations for q
being a root of unity as well as already known finite dimensional ones.
|
Supersolidity of glasses | Supersolidity of glasses is explained as a property of an unusual state of
condensed matter. This state is essentially different from both normal and
superfluid solid states. The mechanism of the phenomenon is the transfer of
mass by tunneling two level systems.
|
On the mesonic Lagrangian of order p^6 in chiral SU(2) | We show that the number of operators in the presently known mesonic chiral
Lagrangian of order p^6 in the two-flavour sector can be reduced by at least
one from 57 to 56 by providing an explicit relation among the operators. We
briefly discuss the relevance of this new relation.
|
Multidimensional continued fractions and a Minkowski function | The Minkowski Question Mark function can be characterized as the unique
homeomorphism of the real unit interval that conjugates the Farey map with the
tent map. We construct an n-dimensional analogue of the Minkowski function as
the only homeomorphism of an n-simplex that conjugates the piecewise-fractional
map associated to the Monkemeyer continued fraction algorithm with an
appropriate tent map.
|
Reply to Comment by J.A.Garcia, arXiv:0705.0143 (to appear in PRD) | We observe that there is no clash between the works \cite{gar} and \cite{g1}.
|
A Natural Explanation for Magnetars | We explore the possibility that a magnetar may owe its strong magnetic field
to a magnetized core which, as indicated by certain equations of state, may
form due to phase transitions at high density mediated by strong interaction
within a sufficiently massive neutron star. We argue that the field derived
from such a core could explain several inferred evolutionary behaviors of
magnetars.
|
A new proof of Vazsonyi's conjecture | We present a self-contained proof that the number of diameter pairs among n
points in Euclidean 3-space is at most 2n-2. The proof avoids the ball
polytopes used in the original proofs by Grunbaum, Heppes and Straszewicz. As a
corollary we obtain that any three-dimensional diameter graph can be embedded
in the projective plane.
|
The physical meaning of Lagrange multipliers | A rule to assign a physical meaning to Lagrange multipliers is discussed.
Examples from mechanics, statistical mechanics and quantum mechanics are given.
|
Challenges for early discovery in ATLAS and CMS | The challenges for a discovery of new physics with 1 fb^-1 of LHC data for
ATLAS and CMS are discussed. Four specific examples are chosen: a deviation of
QCD jet distributions at high E_T, high-mass dilepton pairs, Higgs search in
the WW decay channel, and low mass supersymmetry.
|
Generating Unexpected Spin Echoes in Dipolar Solids with Pi Pulses | This submission has been withdrawn by arXiv administrators because it is a
duplicate of 0705.0667.
|
N^p Spaces | We introduce a new norm, called $N^{p}$-norm $(1\leq{p}<\infty)$ on a space
$N^{p}(V,W)$ where $V$ and $W$ are abstract operator spaces. By proving some
fundamental properties of the space $N^{p}(V,W)$, we also obtain that if $W$ is
complete, then the space $N^{p}(V,W)$ is also a Banach space with respect to
this norm for $1\leq{p}<\infty$.
|
Thermal Radiation From Carbon Nanotube in Terahertz Range | The thermal radiation from an isolated finite-length carbon nanotube (CNT) is
theoretically investigated both in near- and far-field zones. The formation of
the discrete spectrum in metallic CNTs in the terahertz range is demonstrated
due to the reflection of strongly slowed-down surface-plasmon modes from CNT
ends. The effect does not appear in semiconductor CNTs. The concept of CNT as a
thermal nanoantenna is proposed.
|
Numerical study of liquid metal flow in a rectangular duct under the
influence of a heterogenous magnetic field | The paper presents 3D numerical results for the laminar liquid metal flow in
a rectangular duct compared with experimental results. It is shown that the
magnetic interaction parameter $N$ is the main parameter governing the flow
provided turbulent pulsations are locally suppressed by magnetic field.
|
Additive preserving rank one maps on Hilbert $C^\ast$-modules | In this paper, we characterize a class of additive maps on Hilbert
$C^\ast$-modules which maps a "rank one" adjointable operators to another rank
one operators.
|
New Search for tau -> mu gamma and tau -> e gamma Decays at Belle | We report on a search for the lepton flavor violating tau- -> mu- gamma and
tau- -> e- gamma decays based on 535/fb of data accumulated at the Belle
experiment. No signal is found and we set 90% confidence level upper limits on
the branching ratios Br(tau- -> mu- gamma) < 4.5x10^-8 and Br(tau- -> e- gamma)
< 1.2x10^-7.
|
High-precision calculations of In I and Sn II atomic properties | We use all-order relativistic many-body perturbation theory to study 5s^2 nl
configurations of In I and Sn II. Energies, E1-amplitudes, and hyperfine
constants are calculated using all-order method, which accounts for single and
double excitations of the Dirac-Fock wave functions.
|
Central Limit Theorem for the Excited Random Walk in dimension $d \geq
2$ | We prove that a law of large numbers and a central limit theorem hold for the
excited random walk model in every dimension $d \geq 2$.
|
Linear systems on a class of anticanonical rational threefolds | Let X be the blow-up of the three dimensional complex projective space along
r general points of a smooth elliptic quartic curve B of P^3 and let L be any
line bundle of X. The aim of this paper is to provide an explicit algorithm for
determining the dimension of H^0(X,L).
|
Manifestly covariant current matrix elements in the Point Form
Relativistic Hamiltonian Dynamics | A manifestly covariant expression for the current matrix elements of three
quark bound systems is derived in the framework of the Point Form Relativistic
Hamiltonian Dynamics. The relativistic impulse approximation is assumed in the
model. A critical comparison is made with other expressions usually given in
the literature.
|
Hyperbolicity of exact hydrodynamics for three-dimensional linearized
Grad's equations | We extend a recent proof of hyperbolicity of the exact (to all orders in
Knudsen number) linear hydrodynamic equations [M. Colangeli et al, Phys. Rev. E
(2007), in press; arXiv:cond-mat/0703791v2] to the three-dimensional Grad's
moment system. A proof of an H-theorem is also presented.
|
A Simplification of Combinatorial Link Floer Homology | We define a new combinatorial complex computing the hat version of link Floer
homology over Z/2Z, which turns out to be significantly smaller than the
Manolescu-Ozsvath-Sarkar one.
|
Screening in the QCD plasma: effects of the gluons and of the
confinement | The effects of a thermalized gas of gluons in a q,q bar plasma is
investigated. Then the interplay between Debye screening and confinement is
analyzed in a simplified model. While the one-gluon exchange gives results very
similar, but not equal, to the electric case, the phenomenological introduction
of confinement leads to very different results.
|
Signed q-Analogs of Tornheim's Double Series | We introduce signed q-analogs of Tornheim's double series, and evaluate them
in terms of double q-Euler sums. As a consequence, we provide explicit
evaluations of signed and unsigned Tornheim double series, and correct some
mistakes in the literature.
|
Non-commutative Renormalization | A new version of scale analysis and renormalization theory has been found on
the non-commutative Moyal space. It could be useful for physics beyond the
standard model or for standard physics in strong external field. The good news
is that quantum field theory is better behaved on non-commutative than on
ordinary space: indeed it has no Landau ghost. Noncommutativity might therefore
be an alternative to supersymmetry. We review this rapidly growing subject.
|
On Conformally Kaehler, Einstein Manifolds | We prove that any compact complex surface with positive first Chern class
admits an Einstein metric which is conformally related to a Kaehler metric. The
key new ingredient is the existence of such a metric on the blow-up of the
complex projective plane at two distinct points.
|
Reflection Positivity and Monotonicity | We prove general reflection positivity results for both scalar fields and
Dirac fields on a Riemannian manifold, and comment on applications to quantum
field theory. As another application, we prove the inequality $C_D \leq C_N$
between Dirichlet and Neumann covariance operators on a manifold with a
reflection.
|
Sum-product estimates via directed expanders | Let $\F_q$ be a finite field of order $q$ and $P$ be a polynomial in
$\F_q[x_1, x_2]$. For a set $A \subset \F_q$, define $P(A):=\{P(x_1, x_2) | x_i
\in A \}$. Using certain constructions of expanders, we characterize all
polynomials $P$ for which the following holds
\vskip2mm \centerline{\it If $|A+A|$ is small, then $|P(A)|$ is large.}
\vskip2mm
The case $P=x_1x_2$ corresponds to the well-known sum-product problem.
|
Strange duality and the Hitchin/WZW connection | For a compact Riemann surface X of positive genus, the space of sections of
certain theta bundle on moduli of bundles of rank r and level k admits a
natural map to (the dual of) a similar space of sections of rank k and level r
(the strange duality isomorphism). Both sides of the isomorphism carry
projective connections as X varies in a family. We prove that this map is
(projectively) flat.
|
BIons in topological string theory | When many fundamental strings are stacked together, they puff up into
D-branes. BIons and giant gravitons are the examples of such D-brane
configurations that arise from coincident strings. We propose and demonstrate
analogous transitions in topological string theory. Such transitions can also
be understood in terms of the Fourier transform of D-brane amplitudes.
|
Partial sums of the M{\"o}bius function | Assuming the Riemann Hypothesis we establish an upper bound for the sum of
the M{\" o}bius function up to $x$. Our method is based on estimating the
frequency with which intervals of a given length can contain an unusual number
of ordinates of zeros of the Riemann zeta-function.
|
Reciprocal Symmetric Boltzmann Function and Unified Boson-Fermion
Statistics | The differential equation for Boltzmann's function is replaced by the
corresponding discrete finite difference equation. The difference equation is,
then, symmetrized so that the equation remains invariant when step d is
replaced by -d. The solutions of this equation come in Boson-Fermion pairs.
Reciprocal symmetric Boltzmann's function, thus, unifies both Bosonic and
Fermionic distributions.
|
Multi-center MICZ-Kepler systems | We present the classical solutions of the two-center MICZ-Kepler and
MICZ-Kepler-Stark systems. Then we suggest the model of multi-center
MICZ-Kepler system on the curved spaces equipped with $so(3)$-invariant
conformal flat metrics.
|
On monoidal equivalences and Ann-equivalences | In this paper, we show another proof of the problem by constructing a strict
monoidal category M(C) consisting of M-functors and M-morphisms of a category C
and we prove C is equivalent to it. The proof is based on a basic character of
monoidal equivalences. Ideas and techniques of these proofs can been used to
prove the equivalence between an Ann-category and an almost strict
Ann-category.
|
Composability in a certain family of entropies | It is shown that the Tsallis entropies are the only entropies of the form
$H(P)=-\sum_i f(p_i)$, with suitable assumptions on $f$, satisfying the
condition of composability.
|
Gravitational lensing by stable C-field wormhole | It has been recently shown that Hoyle-Narlikar's C-field theory admits
wormhole geometry. We derive the deflection angle of light rays caused by
C-field wormhole in the strong field limit approach of gravitational lensing
theory. The linearized stability of C-field wormhole under spherically
symmetric perturbations about static equilibrium is also explored.
|
On the torsion of Brieskorn modules of homogeneous polynomials | Let $f\in \mathbb{C}[X_1,..., X_n]$ be a homogeneous polynomial and B(f) be
the corresponding Brieskorn module. We describe the torsion of the Brieskorn
module B(f) for n=2 and show that any torsion element has order 1. For n>2, we
find some examples in which the torsion order is strictly greater than 1.
|
MIMO detection employing Markov Chain Monte Carlo | We propose a soft-output detection scheme for Multiple-Input-Multiple-Output
(MIMO) systems. The detector employs Markov Chain Monte Carlo method to compute
bit reliabilities from the signals received and is thus suited for coded MIMO
systems. It offers a good trade-off between achievable performance and
algorithmic complexity.
|
A Closer Look at a Gamma-Ray Burst | A study of gamma rays produced when stars collapse or collide reveals details
of the explosion mechanism, particularly the role of magnetic fields.
|
Approximate textual retrieval | An approximate textual retrieval algorithm for searching sources with high
levels of defects is presented. It considers splitting the words in a query
into two overlapping segments and subsequently building composite regular
expressions from interlacing subsets of the segments. This procedure reduces
the probability of missed occurrences due to source defects, yet diminishes the
retrieval of irrelevant, non-contextual occurrences.
|
A generalized photon propagator | A covariant gauge independent derivation of the generalized dispersion
relation of electromagnetic waves in a medium with local and linear
constitutive law is presented. A generalized photon propagator is derived. For
Maxwell constitutive tensor, the standard light cone structure and the standard
Feynman propagator are reinstated.
|
The bounded isometry conjecture for the Kodaira-Thurston manifold and
4-Torus | The purpose of this note is to study the bounded isometry conjecture proposed
by Lalonde and Polterovich. In particular, we show that the conjecture holds
for the Kodaira-Thurston manifold with the standard symplectic form and for the
4-torus with all linear symplectic forms.
|
Geometric dissipation in kinetic equations | A new symplectic variational approach is developed for modeling dissipation
in kinetic equations. This approach yields a double bracket structure in phase
space which generates kinetic equations representing coadjoint motion under
canonical transformations. The Vlasov example admits measure-valued
single-particle solutions. Such solutions are reversible; and the total entropy
is a Casimir, and thus is preserved.
|
Manifolds with 1/4-pinched Curvature are Space Forms | Let (M,g_0) be a compact Riemannian manifold with pointwise 1/4-pinched
sectional curvatures. We show that the Ricci flow deforms g_0 to a constant
curvature metric. The proof uses the fact, also established in this paper, that
positive isotropic curvature is preserved by the Ricci flow in all dimensions.
We also rely on earlier work of Hamilton and of Bohm and Wilking.
|
Relatively computably enumerable reals | A real X is defined to be relatively c.e. if there is a real Y such that X is
c.e.(Y) and Y does not compute X. A real X is relatively simple and above if
there is a real Y <_T X such that X is c.e.(Y) and there is no infinite subset
Z of the complement of X such that Z is c.e.(Y). We prove that every nonempty
Pi^0_1 class contains a member which is not relatively c.e. and that every
1-generic real is relatively simple and above.
|
Unparticle Physics in DIS | The unparticle stuff scenario related to the notrivial IR fixed point in
4D-conformal field theory is recently suggested by Georgi. We illustrate its
physical effects in Deep Inelastic Scattering (DIS) process. A possible signal
of unparticle related to parity violation asymmetry in DIS is investigated. It
is found out that the behavior of this parity violation signal is sensitive to
the value of the scale dimension $d_{\cal U}$ of unpaticle.
|
On the structure of positive maps between matrix algebras | A partial description of the structure of positive unital maps $\phi:
M_2(\bC) \to M_{n+1}(\bC)$ ($n\geq 2$) is given.
|
Two-Loop Effects and Current Status of the 4He+ Lamb Shift | We report on recent progress in the treatment of two-loop binding corrections
to the Lamb shift, with a special emphasis on S and P states. We use these and
other results in order to infer an updated theoretical value of the Lamb shift
in 4He+.
|
Overview of the Netsukuku network | Netsukuku is a P2P network system designed to handle a large number of nodes
with minimal CPU and memory resources. It can be easily used to build a
worldwide distributed, anonymous and not controlled network, separated from the
Internet, without the support of any servers, ISPs or authority controls. In
this document, we give a generic and non technical description of the Netsukuku
network, emphasizing its main ideas and features.
|
Quantum Shortest Path Netsukuku | This document describes the QSPN, the routing discovery algorithm used by
Netsukuku. Through a deductive analysis the main proprieties of the QSPN are
shown. Moreover, a second version of the algorithm, is presented.
|
The Netsukuku network topology | In this document, we describe the fractal structure of the Netsukuku
topology. Moreover, we show how it is possible to use the QSPN v2 on the high
levels of the fractal.
|