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2019-12-13 | Distance between Bound Entangled States from Unextendible Product Bases and Separable States | We discuss the use of the Gilbert algorithm to tailor entanglement witnesses
for unextendibleproduct basis bound entangled states (UPB BE states). The
method relies on the fact that an optimalentanglement witness is given by a
plane perpendicular to a line between the reference state, entanglementof which
is to be witn... | 1912.06569v2 |
2020-10-16 | Genome organization: experiments and modelling | This is an introduction to the special issue Genome organization: experiments
and simulations, published in Chromosome Research, volume 25, issue 1 (2017). | 2010.08464v1 |
2023-10-17 | Sparse grid approximation of stochastic parabolic PDEs: The Landau--Lifshitz--Gilbert equation | We show convergence rates for a sparse grid approximation of the distribution
of solutions of the stochastic Landau-Lifshitz-Gilbert equation. Beyond being a
frequently studied equation in engineering and physics, the stochastic
Landau-Lifshitz-Gilbert equation poses many interesting challenges that do not
appear simul... | 2310.11225v2 |
2024-04-04 | Resolving Gilbert's Conjecture: Dimensional Dependencies in Hardy Spaces Valued in Clifford Modules | This article provides a thorough investigation into Gilbert's Conjecture,
pertaining to Hardy spaces in the upper half-space valued in Clifford modules.
We explore the conjecture proposed by Gilbert in 1991, which seeks to extend
the classical principle of representing real $L^p$ functions on the real line
as boundary ... | 2404.03478v1 |
1998-02-23 | Shell Effects on Rotational Damping in Superdeformed Nuclei | Damping of rotational motion in superdeformed Hg and Dy-region nuclei is
studied by means of cranked shell model diagonalization. It is shown that a
shell oscillation in single-particle alignments affects significantly
properties of rotational damping. Onset properties of damping and damping width
for Hg are quite diff... | 9802065v1 |
2003-08-29 | Influence of radiative damping on the optical-frequency susceptibility | Motivated by recent discussions concerning the manner in which damping
appears in the electric polarizability, we show that (a) there is a dependence
of the nonresonant contribution on the damping and that (b) the damping enters
according to the "opposite sign prescription." We also discuss the related
question of how ... | 0309001v1 |
2024-03-19 | Weakly elliptic damping gives sharp decay | We prove that weakly elliptic damping gives sharp energy decay for the
abstract damped wave semigroup, where the damping is not in the functional
calculus. In this case, there is no overdamping. We show applications in
linearised water waves and Kelvin--Voigt damping. | 2403.13067v1 |
2015-05-15 | Reliable Damping of Free Surface Waves in Numerical Simulations | This paper generalizes existing approaches for free-surface wave damping via
momentum sinks for flow simulations based on the Navier-Stokes equations. It is
shown in 2D flow simulations that, to obtain reliable wave damping, the
coefficients in the damping functions must be adjusted to the wave parameters.
A scaling la... | 1505.04087v2 |
2019-02-25 | Resonant absorption as a damping mechanism for the transverse oscillations of the coronal loops observed by SDO/AIA | Solar coronal loops represent the variety of fast, intermediate, and slow
normal mode oscillations. In this study, the transverse oscillations of the
loops with a few-minutes period and also with damping caused by the resonant
absorption were analyzed using extreme ultraviolet (EUV) images of the Sun. We
employed the 1... | 1902.09649v1 |
2013-05-21 | Characterization and Synthesis of Rayleigh Damped Elastodynamic Networks | We consider damped elastodynamic networks where the damping matrix is assumed
to be a non-negative linear combination of the stiffness and mass matrices
(also known as Rayleigh or proportional damping). We give here a
characterization of the frequency response of such networks. We also answer the
synthesis question for... | 1305.4961v1 |
2016-08-08 | Damping Functions correct over-dissipation of the Smagorinsky Model | This paper studies the time-averaged energy dissipation rate $\langle
\varepsilon_{SMD} (u)\rangle$ for the combination of the Smagorinsky model and
damping function. The Smagorinsky model is well known to over-damp. One common
correction is to include damping functions that reduce the effects of model
viscosity near w... | 1608.02655v2 |
2012-01-27 | Full and Half Gilbert Tessellations with Rectangular Cells | We investigate the ray-length distributions for two different rectangular
versions of Gilbert's tessellation. In the full rectangular version, lines
extend either horizontally (with east- and west-growing rays) or vertically
(north- and south-growing rays) from seed points which form a Poisson point
process, each ray s... | 1201.5780v1 |
2021-06-08 | On numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging | The Landau-Lifshitz-Gilbert equation yields a mathematical model to describe
the evolution of the magnetization of a magnetic material, particularly in
response to an external applied magnetic field. It allows one to take into
account various physical effects, such as the exchange within the magnetic
material itself. I... | 2106.07625v1 |
2000-09-11 | Numerical Studies on Locally Damped Structures | In the JLC/NLC X-band linear collider, it is essential to reduce the
long-range dipole wakefields in the accelerator structure to prevent beam break
up (BBU) and emittance degradation. The two methods of reducing the long-range
wakefields are detuning and damping. Detuning reduces the wakefields rapidly as
the dipole m... | 0009039v1 |
2015-03-13 | A one-step optimal energy decay formula for indirectly nonlinearly damped hyperbolic systems coupled by velocities | In this paper, we consider the energy decay of a damped hyperbolic system of
wave-wave type which is coupled through the velocities. We are interested in
the asymptotic properties of the solutions of this system in the case of
indirect nonlinear damping, i.e. when only one equation is directly damped by a
nonlinear dam... | 1503.04126v1 |
2015-08-21 | Radiative damping in wave guide based FMR measured via analysis of perpendicular standing spin waves in sputtered Permalloy films | The damping $\alpha$ of the spinwave resonances in 75 nm, 120 nm, and 200nm
-thick Permalloy films is measured via vector-network-analyzer
ferromagnetic-resonance (VNA-FMR) in the out-of-plane geometry. Inductive
coupling between the sample and the waveguide leads to an additional radiative
damping term. The radiative ... | 1508.05265v1 |
2022-09-28 | Tunable nonlinear damping in parametric regime | Nonlinear damping plays a significant role in several area of physics and it
is becoming increasingly important to understand its underlying mechanism.
However, microscopic origin of nonlinear damping is still a debatable topic.
Here, we probe and report nonlinear damping in a highly tunable MoS2 nano
mechanical drum r... | 2209.14120v1 |
2005-11-07 | The Effects of Alfven Waves and Radiation Pressure in Dusty Winds of Late-Type Stars. II. Dust-Cyclotron Damping | There are in the literature several theories to explain the mass loss in
stellar winds. In particular, for late-type stars, some authors have proposed a
wind model driven by an outward-directed flux of damped Alfven waves. The winds
of these stars present great amounts of dust particles that, if charged, can
give rise ... | 0511192v2 |
2013-09-11 | Initial versus tangent stiffness-based Rayleigh damping in inelastic time history seismic analyses | In the inelastic time history analyses of structures in seismic motion, part
of the seismic energy that is imparted to the structure is absorbed by the
inelastic structural model, and Rayleigh damping is commonly used in practice
as an additional energy dissipation source. It has been acknowledged that
Rayleigh damping... | 1309.2741v1 |
2017-07-14 | Damping of gravitational waves by matter | We develop a unified description, via the Boltzmann equation, of damping of
gravitational waves by matter, incorporating collisions. We identify two
physically distinct damping mechanisms -- collisional and Landau damping. We
first consider damping in flat spacetime, and then generalize the results to
allow for cosmolo... | 1707.05192v2 |
2024-03-13 | The q-ary Gilbert-Varshamov bound can be improved for all but finitely many positive integers q | For any positive integer $q\geq 2$ and any real number $\delta\in(0,1)$, let
$\alpha_q(n,\delta n)$ denote the maximum size of a subset of $\mathbb{Z}_q^n$
with minimum Hamming distance at least $\delta n$, where
$\mathbb{Z}_q=\{0,1,\dotsc,q-1\}$ and $n\in\mathbb{N}$. The asymptotic rate
function is defined by $ R_q(\d... | 2403.08727v2 |
2002-06-27 | Initial-amplitude dependence in weakly damped oscillators | A pedagogically instructive experimental procedure is suggested for
distinguishing between different damping terms in a weakly damped oscillator,
which highclights the connection between non-linear damping and
initial-amplitude dependence. The most common damping terms such as contact
friction, air resistance, viscous ... | 0206086v1 |
2006-05-22 | The entanglement of damped noon-state and its performance in phase measurement | The state evolution of the initial optical \textit{noon} state is
investigated. The residue entanglement of the state is calculated after it is
damped by amplitude and phase damping. The relative entropy of entanglement of
the damped state is exactly obtained. The performance of direct application of
the damped \textit... | 0605184v1 |
2007-10-04 | Channel-Adapted Quantum Error Correction for the Amplitude Damping Channel | We consider error correction procedures designed specifically for the
amplitude damping channel. We analyze amplitude damping errors in the
stabilizer formalism. This analysis allows a generalization of the [4,1]
`approximate' amplitude damping code of quant-ph/9704002. We present this
generalization as a class of [2(M... | 0710.1052v1 |
2010-03-24 | Dynamical shift condition for unequal mass black hole binaries | Certain numerical frameworks used for the evolution of binary black holes
make use of a gamma driver, which includes a damping factor. Such simulations
typically use a constant value for damping. However, it has been found that
very specific values of the damping factor are needed for the calculation of
unequal mass bi... | 1003.4681v1 |
2011-11-30 | Local phase damping of single qubits sets an upper bound on the phase damping rate of entangled states | I derive an inequality in which the phase damping rates of single qubits set
an upper bound for the phase damping rate of entangled states of many qubits.
The derivation is based on two assumptions: first, that the phase damping can
be described by a dissipator in Lindblad form and, second, that the phase
damping prese... | 1111.7152v2 |
2012-05-11 | Quantum dynamics of the damped harmonic oscillator | The quantum theory of the damped harmonic oscillator has been a subject of
continual investigation since the 1930s. The obstacle to quantization created
by the dissipation of energy is usually dealt with by including a discrete set
of additional harmonic oscillators as a reservoir. But a discrete reservoir
cannot direc... | 1205.2545v1 |
2014-02-28 | Escape rate for the power-law distribution in low-to-intermediate damping | Escape rate in the low-to-intermediate damping connecting the low damping
with the intermediate damping is established for the power-law distribution on
the basis of flux over population theory. We extend the escape rate in the low
damping to the low-to-intermediate damping, and get an expression for the
power-law dist... | 1402.7194v2 |
2015-03-21 | On damping created by heterogeneous yielding in the numerical analysis of nonlinear reinforced concrete frame elements | In the dynamic analysis of structural engineering systems, it is common
practice to introduce damping models to reproduce experimentally observed
features. These models, for instance Rayleigh damping, account for the damping
sources in the system altogether and often lack physical basis. We report on an
alternative pat... | 1503.07122v1 |
2016-01-20 | Introduction to Landau Damping | The mechanism of Landau damping is observed in various systems from plasma
oscillations to accelerators. Despite its widespread use, some confusion has
been created, partly because of the different mechanisms producing the damping
but also due to the mathematical subtleties treating the effects. In this
article the ori... | 1601.05227v1 |
2018-07-25 | Regularity and asymptotic behaviour for a damped plate-membrane transmission problem | We consider a transmission problem where a structurally damped plate equation
is coupled with a damped or undamped wave equation by transmission conditions.
We show that exponential stability holds in the damped-damped situation and
polynomial stability (but no exponential stability) holds in the
damped-undamped case. ... | 1807.09730v1 |
2021-08-04 | Nonlinear fluid damping of elastically mounted pitching wings in quiescent water | We experimentally study the nonlinear fluid damping of a rigid but
elastically mounted pitching wing in the absence of a freestream flow. The
dynamics of the elastic mount are simulated using a cyber-physical system. We
perturb the wing and measure the fluid damping coefficient from damped
oscillations over a large ran... | 2108.02090v1 |
2002-11-03 | Damping of coupled phonon--plasmon modes | The effect of free carriers on dispersion and damping of coupled
phonon-plasmon modes is considered in the long-wave approximation. The electron
and phonon scattering rate as well as Landau damping are taken into account. | 0211040v1 |
2002-02-01 | On "the authentic damping mechanism" of the phonon damping model | Some general features of the phonon damping model are presented. It is
concluded that the fits performed within this model have no physical content. | 0202006v1 |
2010-12-20 | Global attractors for the one dimensional wave equation with displacement dependent damping | We study the long-time behavior of solutions of the one dimensional wave
equation with nonlinear damping coefficient. We prove that if the damping
coefficient function is strictly positive near the origin then this equation
possesses a global attractor. | 1012.4455v1 |
2018-01-28 | Observations of excitation and damping of transversal oscillation in coronal loops by AIA/SDO | The excitation and damping of transversal coronal loop oscillations and
quantitative relation between damping time, damping quality (damping time per
period), oscillation amplitude, dissipation mechanism and the wake phenomena
are investigated. The observed time series data with the \textit{Atmospheric
Imaging Assembly... | 1801.09217v1 |
1999-11-16 | Probing supernovae ejecta by Halpha damping wings | It is predicted that H$\alpha$ emission line at the early nebular epoch of
type II-P supernovae may display robust observational effects of damping wings.
This is illustrated by Monte-Carlo simulations. The strength of damping wing
effects may be used to constrain parameters of the line-emitting zone. An
anomalous reds... | 9911300v1 |
2009-01-23 | Rheological Interpretation of Rayleigh Damping | Damping is defined through various terms such as energy loss per cycle (for
cyclic tests), logarithmic decrement (for vibration tests), complex modulus,
rise-time or spectrum ratio (for wave propagation analysis), etc. For numerical
modeling purposes, another type of damping is frequently used : it is called
Rayleigh d... | 0901.3717v1 |
2009-05-20 | Eigenvalue asymptotics, inverse problems and a trace formula for the linear damped wave equation | We determine the general form of the asymptotics for Dirichlet eigenvalues of
the one-dimensional linear damped wave operator. As a consequence, we obtain
that given a spectrum corresponding to a constant damping term this determines
the damping term in a unique fashion. We also derive a trace formula for this
problem. | 0905.3242v1 |
2015-05-06 | Remarks on the asymptotic behavior of the solution of an abstract damped wave equation | We study an abstract damped wave equation. We prove that the solution of the
damped wave equation becomes closer to the solution of a heat type equation as
time tend to infinity. As an application of our approach, we also study the
asymptotic behavior of the damped wave equation in Euclidean space under the
geometric c... | 1505.01794v2 |
2017-01-18 | Two types of spurious damping forces potentially modeled in numerical seismic nonlinear response history analysis | The purpose of this paper is to provide practitioners with further insight
into spurious damping forces that can be generated in nonlinear seismic
response history analyses (RHA). The term 'spurious' is used to refer to
damping forces that are not present in an elastic system and appear as
nonlinearities develop: such ... | 1701.05092v1 |
2017-02-02 | Exponential stability for a coupled system of damped-undamped plate equations | We consider the transmission problem for a coupled system of undamped and
structurally damped plate equations in two sufficiently smooth and bounded
subdomains. It is shown that, independently of the size of the damped part, the
damping is strong enough to produce uniform exponential decay of the energy of
the coupled ... | 1702.00637v1 |
2017-09-11 | Comparison of damping mechanisms for transverse waves in solar coronal loops | We present a method to assess the plausibility of alternative mechanisms to
explain the damping of magnetohydrodynamic (MHD) transverse waves in solar
coronal loops. The considered mechanisms are resonant absorption of kink waves
in the Alfv\'en continuum, phase-mixing of Alfv\'en waves, and wave leakage.
Our methods m... | 1709.03347v1 |
2019-03-25 | Distributed Inter-Area Oscillation Damping Control for Power Systems by Using Wind Generators and Load Aggregators | This paper investigates the potential of wind turbine generators (WTGs) and
load aggregators (LAs) to provide supplementary damping control services for
low frequency inter-area oscillations (LFOs) through the additional distributed
damping control units (DCUs) proposed in their controllers. In order to provide
a scala... | 1903.10135v1 |
2019-08-19 | Spectral determinant for the damped wave equation on an interval | We evaluate the spectral determinant for the damped wave equation on an
interval of length $T$ with Dirichlet boundary conditions, proving that it does
not depend on the damping. This is achieved by analysing the square of the
damped wave operator using the general result by Burghelea, Friedlander, and
Kappeler on the ... | 1908.06862v1 |
2020-10-12 | Decays rates for Kelvin-Voigt damped wave equations II: the geometric control condition | We study in this article decay rates for Kelvin-Voigt damped wave equations
under a geometric control condition. We prove that when the damping coefficient
is sufficiently smooth ($C^1$ vanishing nicely) we show that exponential decay
follows from geometric control conditions (see~\cite{BuCh, Te12} for similar
results ... | 2010.05614v2 |
2020-12-05 | On Periodical Damping Ratio of a Controlled Dynamical System with Parametric Resonances | This report provides an interpretation on the periodically varying damping
ratio of a dynamical system with direct control of oscillation or vibration
damping. The principal parametric resonance of the system and a new type of
parametric resonance, named "zero-th order" parametric resonance, are
investigated by using t... | 2012.02932v1 |
2021-06-09 | Grammage of cosmic rays in the proximity of supernova remnants embedded in a partially ionized medium | We investigate the damping of Alfv\'en waves generated by the cosmic ray
resonant streaming instability in the context of the cosmic ray escape and
propagation in the proximity of supernova remnants. We consider ion-neutral
damping, turbulent damping and non linear Landau damping in the warm ionized
and warm neutral ph... | 2106.04948v1 |
2021-06-22 | Sharp decay rate for the damped wave equation with convex-shaped damping | We revisit the damped wave equation on two-dimensional torus where the damped
region does not satisfy the geometric control condition. We show that if the
damping vanishes as a H\"older function $|x|^{\beta}$, and in addition, the
boundary of the damped region is strictly convex, the wave is stable at rate
$t^{-1+\frac... | 2106.11782v3 |
2021-08-09 | Effect of stepwise adjustment of Damping factor upon PageRank | The effect of adjusting damping factor {\alpha}, from a small initial value
{\alpha}0 to the final desired {\alpha}f value, upon then iterations needed for
PageRank computation is observed. Adjustment of the damping factor is done in
one or more steps. Results show no improvement in performance over a fixed
damping fac... | 2108.04150v1 |
2021-08-17 | Asymptotic behaviour of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity | In this paper we prove the existence of the global attractor for the wave
equation with nonlocal weak damping, nonlocal anti-damping and critical
nonlinearity. | 2108.07395v2 |
2023-02-23 | Buckling Metamaterials for Extreme Vibration Damping | Damping mechanical resonances is a formidable challenge in an increasing
number of applications. Many of the passive damping methods rely on using low
stiffness dissipative elements, complex mechanical structures or electrical
systems, while active vibration damping systems typically add an additional
layer of complexi... | 2302.11968v1 |
1997-11-20 | Symmetric matrices and quantum codes | This paper has been withdrawn since a Gilbert-Varshamov bound for general
quantum codes has already appeared in Ekert and Macchiavello, Prys. Rev. Lett.
77, p. 2585, and a Gilbert-Varshamov bound for stabilizer codes connected with
orthogonal geometry, or equivalently, with symmetric matrices as in this paper,
has been... | 9711026v2 |
1994-06-09 | Black Holes from Blue Spectra | Blue primordial power spectra with a spectral index $n>1$ can lead to a
significant production of primordial black holes in the very early Universe.
The evaporation of these objects leads to a number of observational
consequences and a model independent upper limit of $n \approx 1.4$. In some
cases this limit is streng... | 9406028v1 |
1995-06-14 | Inversions in astronomy and the SOLA method | This paper was presented at the Institute for Mathematics and its
Applications workshop "Inverse problems in wave propagation" and will appear in
the series IMA volumes (Springer). A brief overview of applications of
inversions within astronomy is presented and also an inventory of techniques
commonly in use. Most of t... | 9506084v1 |
1997-11-11 | No Need for MACHOS in the Halo | A simple interpretation of the more than dozen microlensing events seen in
the direction of the LMC is a halo population of MACHOs which accounts for
about half of the mass of the Galaxy. Such an interpretation is not without its
problems, and we show that current microlensing data can, with some advantage,
be explaine... | 9711110v1 |
2006-02-11 | Likelihood Functions for Galaxy Cluster Surveys | Galaxy cluster surveys offer great promise for measuring cosmological
parameters, but survey analysis methods have not been widely studied. Using
methods developed decades ago for galaxy clustering studies, it is shown that
nearly exact likelihood functions can be written down for galaxy cluster
surveys. The sparse sam... | 0602251v3 |
2000-03-25 | Thermokinetic approach of the generalized Landau-Lifshitz-Gilbert equation with spin polarized current | In order to describe the recently observed effect of current induced
magnetization reversal in magnetic nanostructures, the thermokinetic theory is
applied to a metallic ferromagnet in contact with a reservoir of spin polarized
conduction electrons. The spin flip relaxation of the conduction electrons is
described ther... | 0003409v1 |
2004-05-26 | Nonequilibrium Extension of the Landau-Lifshitz-Gilbert Equation for Magnetic Systems | Using the invariant operator method for an effective Hamiltonian including
the radiation-spin interaction, we describe the quantum theory for
magnetization dynamics when the spin system evolves nonadiabatically and out of
equilibrium, $d \hat{\rho}/dt \neq 0$. It is shown that the vector parameter of
the invariant oper... | 0405599v1 |
2006-10-16 | Properties of Codes with the Rank Metric | In this paper, we study properties of rank metric codes in general and
maximum rank distance (MRD) codes in particular. For codes with the rank
metric, we first establish Gilbert and sphere-packing bounds, and then obtain
the asymptotic forms of these two bounds and the Singleton bound. Based on the
asymptotic bounds, ... | 0610099v2 |
1994-08-26 | On the Dirichlet problem for harmonic maps with prescribed singularities | Let $\M$ be a classical Riemannian globally symmetric space of rank one and
non-compact type. We prove the existence and uniqueness of solutions to the
Dirichlet problem for harmonic maps into $\M$ with prescribed singularities
along a closed submanifold of the domain. This generalizes our previous work
where such maps... | 9408005v1 |
1997-08-15 | One-Loop Minimization Conditions in the Minimal Supersymmetric Standard Model | We study, in the Minimal Supersymmetric Standard Model, the electroweak
symmetry breaking conditions obtained from the one-loop effective potential.
Novel model-independent lower and upper bounds on $\tan \beta$, involving the
other free parameters of the model, are inferred and determined analytically.
We discuss brie... | 9708368v1 |
2004-05-31 | On a Penrose Inequality with Charge | We construct a time-symmetric asymptotically flat initial data set to the
Einstein-Maxwell Equations which satisfies the inequality: m - 1/2(R + Q^2/R) <
0, where m is the total mass, R=sqrt(A/4) is the area radius of the outermost
horizon and Q is the total charge. This yields a counter-example to a natural
extension ... | 0405602v3 |
2004-07-26 | Automorphisms of free groups have asymptotically periodic dynamics | We show that every automorphism $\alpha$ of a free group $F_k$ of finite rank
$k$ has {\it asymptotically periodic} dynamics on $F_k$ and its boundary
$\partial F_k$: there exists a positive power $\alpha^q$ such that every
element of the compactum $F_k \cup \partial F_k$ converges to a fixed point
under iteration of $... | 0407437v2 |
2004-12-30 | The Construction of a Partially Regular Solution to the Landau-Lifshitz-Gilbert Equation in $\mathbb{R}^2$ | We establish a framework to construct a global solution in the space of
finite energy to a general form of the Landau-Lifshitz-Gilbert equation in
$\mathbb{R}^2$. Our characterization yields a partially regular solution,
smooth away from a 2-dimensional locally finite Hausdorff measure set. This
construction relies on ... | 0412534v1 |
2002-01-13 | Inverse Cascade Regime in Shell Models of 2-Dimensional Turbulence | We consider shell models that display an inverse energy cascade similar to
2-dimensional turbulence (together with a direct cascade of an enstrophy-like
invariant). Previous attempts to construct such models ended negatively,
stating that shell models give rise to a "quasi-equilibrium" situation with
equipartition of t... | 0201020v1 |
2002-04-23 | Algebraic decay in hierarchical graphs | We study the algebraic decay of the survival probability in open hierarchical
graphs. We present a model of a persistent random walk on a hierarchical graph
and study the spectral properties of the Frobenius-Perron operator. Using a
perturbative scheme, we derive the exponent of the classical algebraic decay in
terms o... | 0204056v1 |
2004-03-11 | Statistics of active vs. passive advections in magnetohydrodynamic turbulence | Active turbulent advection is considered in the context of
magneto-hydrodynamics. In this case, an auxiliary passive field bears no
apparent connection to the active field. The scaling properties of the two
fields are different. In the framework of a shell model, we show that the
two-point structure function of the pas... | 0403017v1 |
2006-01-19 | Drift of particles in self-similar systems and its Liouvillian interpretation | We study the dynamics of classical particles in different classes of
spatially extended self-similar systems, consisting of (i) a self-similar
Lorentz billiard channel, (ii) a self-similar graph, and (iii) a master
equation. In all three systems the particles typically drift at constant
velocity and spread ballisticall... | 0601042v1 |
1997-11-20 | Quantum self-dual codes and symmetric matrices | This paper has been withdrawn since a Gilbert-Varshamov bound for general
quantum codes has already appeared in Ekert and Macchiavello, Prys. Rev. Lett.
77, p. 2585, and a Gilbert-Varshamov bound for stabilizer codes connected with
orthogonal geometry, or equivalently, with symmetric matrices as in this paper,
has been... | 9711047v2 |
2001-06-06 | Constraints on Eavesdropping on the BB84 Protocol | An undetected eavesdropping attack must produce count rate statistics that
are indistinguishable from those that would arise in the absence of such an
attack. In principle this constraint should force a reduction in the amount of
information available to the eavesdropper. In this paper we illustrate, by
considering a p... | 0106034v2 |
2007-09-14 | A complete proof of The Graceful Tree Conjecture using the concept of Edge Degree | We show the Graceful Tree Conjecture holds. | 0709.2201v9 |
2007-09-24 | An extension of a result concerning convex geometric graphs | We show a general result known as the Erdos_Sos Conjecture: if
$E(G)>{1/2}(k-1)n$ where $G$ has order $n$ then $G$ contains every tree of
order $k+1$ as a subgraph. | 0709.3590v5 |
2008-06-13 | Heat conduction and Fourier's law by consecutive local mixing and thermalization | We present a first-principles study of heat conduction in a class of models
which exhibit a new multi-step local thermalization mechanism which gives rise
to Fourier's law. Local thermalization in our models occurs as the result of
binary collisions among locally confined gas particles. We explore the
conditions under ... | 0806.2193v1 |
2009-08-05 | Persistence effects in deterministic diffusion | In systems which exhibit deterministic diffusion, the gross parameter
dependence of the diffusion coefficient can often be understood in terms of
random walk models. Provided the decay of correlations is fast enough, one can
ignore memory effects and approximate the diffusion coefficient according to
dimensional argume... | 0908.0600v1 |
2009-08-10 | Diffusion coefficients for multi-step persistent random walks on lattices | We calculate the diffusion coefficients of persistent random walks on
lattices, where the direction of a walker at a given step depends on the memory
of a certain number of previous steps. In particular, we describe a simple
method which enables us to obtain explicit expressions for the diffusion
coefficients of walks ... | 0908.1271v1 |
2010-04-09 | Strict inequalities of critical probabilities on Gilbert's continuum percolation graph | Any infinite graph has site and bond percolation critical probabilities
satisfying $p_c^{site}\geq p_c^{bond}$. The strict version of this inequality
holds for many, but not all, infinite graphs.
In this paper, the class of graphs for which the strict inequality holds is
extended to a continuum percolation model. In ... | 1004.1596v2 |
2010-04-15 | Rank of mapping tori and companion matrices | Given $f$ in $GL(d,Z)$, it is decidable whether its mapping torus (the
semi-direct product of $Z^d$ with $Z$) may be generated by two elements or not;
if so, one can classify generating pairs up to Nielsen equivalence. If $f$ has
infinite order, the mapping torus of $f^n$ cannot be generated by two elements
for $n$ lar... | 1004.2649v1 |
2010-04-30 | Limit theory for planar Gilbert tessellations | A Gilbert tessellation arises by letting linear segments (cracks) in the
plane unfold in time with constant speed, starting from a homogeneous Poisson
point process of germs in randomly chosen directions. Whenever a growing edge
hits an already existing one, it stops growing in this direction. The resulting
process tes... | 1005.0023v1 |
2010-06-24 | Periodic solutions for the Landau-Lifshitz-Gilbert equation | Ferromagnetic materials tend to develop very complex magnetization patterns
whose time evolution is modeled by the so-called Landau-Lifshitz-Gilbert
equation (LLG). In this paper, we construct time-periodic solutions for LLG in
the regime of soft and small ferromagnetic particles which satisfy a certain
shape condition... | 1006.4765v1 |
2010-12-19 | A counterexample to a Penrose inequality conjectured by Gibbons | We show that the Brill-Lindquist initial data provides a counterexample to a
Riemannian Penrose inequality with charge conjectured by G. Gibbons. The
observation illustrates a sub-additive characteristic of the area radii for the
individual connected components of an outermost horizon as a lower bound of the
ADM mass. | 1012.4190v2 |
2011-11-27 | A two-stage approach to relaxation in billiard systems of locally confined hard spheres | We consider the three-dimensional dynamics of systems of many interacting
hard spheres, each individually confined to a dispersive environment, and show
that the macroscopic limit of such systems is characterized by a coefficient of
heat conduction whose value reduces to a dimensional formula in the limit of
vanishingl... | 1111.6272v1 |
2012-01-12 | Coil-helix transition in poly(L-glutamic acid) : Evidence for a 3-state non-cooperative process | A careful analysis of measurements of circular dichroism of poly(L-glutamic
acid) (PGA) shows that the data can be very accurately described by introducing
a third state for the PGA configuration, in addition to the helix and coil
ones, and considering a simple equilibrium between these three states, without
cooperativ... | 1201.2566v1 |
2012-03-20 | Vortex dynamics in the presence of excess energy for the Landau-Lifschitz-Gilbert equation | We study the Landau-Lifshitz-Gilbert equation for the dynamics of a magnetic
vortex system. We present a PDE-based method for proving vortex dynamics that
does not rely on strong well-preparedness of the initial data and allows for
instantaneous changes in the strength of the gyrovector force due to bubbling
events. Th... | 1203.4426v1 |
2012-12-22 | Cumulative Distance Enumerators of Random Codes and their Thresholds | Cumulative weight enumerators of random linear codes are introduced, their
asymptotic properties are studied, and very sharp thresholds are exhibited; as
a consequence, it is shown that the asymptotic Gilbert-Varshamov bound is a
very sharp threshold point for the density of the linear codes whose relative
distance is ... | 1212.5679v1 |
2013-01-23 | The Importance of Continuous Value Based Project Management in the Context of Requirements Engineering | Despite several scientific achievements in the last years, there are still a
lot of IT projects that fail. Researchers found that one out of five
IT-projects run out of time, budget or value. Major reasons for this failure
are unexpected economic risk factors that emerge during the runtime of
projects. In order to be a... | 1301.5438v1 |
2013-04-08 | On Automorphisms and Subtowers of an asymptotically optimal Tower of Function Fields | In this article we investigate the automorphism group of an asymptotically
optimal tower of function fields introduced by Garcia and Stichtenoth. In
particular we provide a detailed description of the decomposition group of some
rational places. This group acts on the algebraic-geometric standard codes
obtained by the ... | 1304.2145v1 |
2013-05-06 | The Moment Generating function for ray lengths in the Half Gilbert Model with Rectangular Cells | In the full rectangular version of Gilbert's tessellation lines extend either
horizontally (with east- and west--growing rays) or vertically (north- and
south--growing rays) from seed points which form a Poisson point process, each
ray stopping when another ray is met. In the half rectangular version, east and
south gr... | 1305.1289v1 |
2013-07-15 | Degenerate transition pathways for screw dislocations: implications for migration | In body-centred-cubic (bcc) metals migrating 1/2<111> screw dislocations
experience a periodic energy landscape with a triangular symmetry. Atomistic
simulations, such as those performed using the nudged-elastic-band (NEB)
method, generally predict a transition-pathway energy-barrier with a
double-hump; contradicting A... | 1307.3848v2 |
2013-08-17 | The Riemannian Penrose Inequality with Charge for Multiple Black Holes | We present a proof of the Riemannian Penrose inequality with charge $r\leq m
+ \sqrt{m^2-q^2}$, where $A=4\pi r^2$ is the area of the outermost apparent
horizon with possibly multiple connected components, $m$ is the total ADM mass,
and $q$ the total charge of a strongly asymptotically flat initial data set for
the Ein... | 1308.3771v3 |
2013-08-23 | Quotients and subgroups of Baumslag-Solitar groups | We determine all generalized Baumslag-Solitar groups (finitely generated
groups acting on a tree with all stabilizers infinite cyclic) which are
quotients of a given Baumslag-Solitar group BS(m,n), and (when BS(m,n) is not
Hopfian) which of them also admit BS(m,n) as a quotient. We determine for which
values of r,s one... | 1308.5122v2 |
2013-12-17 | Limit theory for the Gilbert graph | For a given homogeneous Poisson point process in $\mathbb{R}^d$ two points
are connected by an edge if their distance is bounded by a prescribed distance
parameter. The behaviour of the resulting random graph, the Gilbert graph or
random geometric graph, is investigated as the intensity of the Poisson point
process is ... | 1312.4861v2 |
2014-03-13 | Fibrations of ordered groupoids and the factorization of ordered functors | We investigate canonical factorizations of ordered functors of ordered
groupoids through star-surjective functors. Our main construction is a quotient
ordered groupoid, depending on an ordered version of the notion of normal
subgroupoid, that results is the factorization of an ordered functor as a
star-surjective funct... | 1403.3254v2 |
2014-03-16 | Interpolating local constants in families | We extend the theory of local constants to l-adic families of representations
of GL_n(F) where F is a p-adic field with l not equal to p. We construct zeta
integrals and gamma factors for representations coming from the conjectural
"local Langlands correspondence in families" of Emerton-Helm, proving a
rationality resu... | 1403.3914v2 |
2014-06-10 | A thin-film limit in the Landau-Lifshitz-Gilbert equation relevant for the formation of Néel walls | We consider an asymptotic regime for two-dimensional ferromagnetic films that
is consistent with the formation of transition layers (N\'eel walls). We first
establish compactness of S2-valued magnetizations in the energetic regime of
N\'eel walls and characterize the set of accumulation points. We then prove
that N\'ee... | 1406.2709v1 |
2014-08-02 | Machta-Zwanzig regime of anomalous diffusion in infinite-horizon billiards | We study diffusion on a periodic billiard table with infinite horizon in the
limit of narrow corridors. An effective trapping mechanism emerges according to
which the process can be modeled by a L\'evy walk combining
exponentially-distributed trapping times with free propagation along paths
whose precise probabilities ... | 1408.0349v1 |
2014-12-11 | Gamma factors of pairs and a local converse theorem in families | We prove a GL(n)xGL(n-1) local converse theorem for l-adic families of smooth
representations of GL(n,F) where F is a finite extension of Q_p and l is
different from p. To do so, we also extend the theory of Rankin-Selberg
integrals, first introduced by Jacquet, Piatetski-Shapiro, and Shalika, to the
setting of familie... | 1412.3500v2 |
2015-05-28 | A Geometric Interpretation of the Boolean Gilbert-Johnson-Keerthi Algorithm | The Gilbert-Johnson-Keerthi (GJK) algorithm is an iterative improvement
technique for finding the minimum distance between two convex objects. It can
easily be extended to work with concave objects and return the pair of closest
points. [4] The key operation of GJK is testing whether a Voronoi region of a
simplex conta... | 1505.07873v1 |
2016-01-29 | Ordered groupoid quotients and congruences on inverse semigroups | We introduce a preorder on an inverse semigroup $S$ associated to any normal
inverse subsemigroup $N$, that lies between the natural partial order and
Green's ${\mathscr J}$-relation. The corresponding equivalence relation
$\simeq_N$ is not necessarily a congruence on $S$, but the quotient set does
inherit a natural or... | 1601.08194v1 |
2016-08-16 | Closed inverse subsemigroups of graph inverse semigroups | As part of his study of representations of the polycylic monoids, M.V. Lawson
described all the closed inverse submonoids of a polycyclic monoid $P_n$ and
classified them up to conjugacy. We show that Lawson's description can be
extended to closed inverse subsemigroups of graph inverse semigroups. We then
apply B. Sche... | 1608.04538v1 |
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