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2016-10-11 | Converse theorems and the local Langlands correspondence in families | We prove a descent criterion for certain families of smooth representations
of GL_n(F) (F a p-adic field) in terms of the gamma factors of pairs
constructed in previous work of the second author. We then use this descent
criterion, together with a theory of gamma factors for families of
representations of the Weil grou... | 1610.03277v1 |
2016-10-14 | An alternative view on dissipation in turbulent flows | An original experimental setup has been elaborated in order to get a better
view of turbulent flows in a von Karman geometry. The availability of a very
fast camera allowed to follow in time the evolution of the flows. A surprising
finding is that the development of smaller whorls ceases earlier than expected
and the a... | 1610.05356v2 |
2017-03-02 | Small Superposition Dimension and Active Set Construction for Multivariate Integration Under Modest Error Demand | Constructing active sets is a key part of the Multivariate Decomposition
Method. An algorithm for constructing optimal or quasi-optimal active sets is
proposed in the paper. By numerical experiments, it is shown that the new
method can provide sets that are significantly smaller than the sets
constructed by the already... | 1703.00985v1 |
2017-03-03 | Heat conduction and the nonequilibrium stationary states of stochastic energy exchange processes | I revisit the exactly solvable Kipnis--Marchioro--Presutti model of heat
conduction [J. Stat. Phys. 27 65 (1982)] and describe, for one-dimensional
systems of arbitrary sizes whose ends are in contact with thermal baths at
different temperatures, a systematic characterization of their non-equilibrium
stationary states.... | 1703.01240v1 |
2017-03-04 | Algebraic geometry codes with complementary duals exceed the asymptotic Gilbert-Varshamov bound | It was shown by Massey that linear complementary dual (LCD for short) codes
are asymptotically good. In 2004, Sendrier proved that LCD codes meet the
asymptotic Gilbert-Varshamov (GV for short) bound. Until now, the GV bound
still remains to be the best asymptotical lower bound for LCD codes. In this
paper, we show tha... | 1703.01441v1 |
2017-03-17 | A finite element approximation for the stochastic Landau--Lifshitz--Gilbert equation with multi-dimensional noise | We propose an unconditionally convergent linear finite element scheme for the
stochastic Landau--Lifshitz--Gilbert (LLG) equation with multi-dimensional
noise. By using the Doss-Sussmann technique, we first transform the stochastic
LLG equation into a partial differential equation that depends on the solution
of the au... | 1703.05901v1 |
2017-04-12 | The homology of principally directed ordered groupoids | We present some homological properties of a relation $\beta$ on ordered
groupoids that generalises the minimum group congruence for inverse semigroups.
When $\beta$ is a transitive relation on an ordered groupoid $G$, the quotient
$G / \beta$ is again an ordered groupoid, and construct a pair of adjoint
functors betwee... | 1704.03689v1 |
2017-06-15 | Absence of correlations in the energy exchanges of an exactly solvable model of heat transport with many degrees of freedom | A process based on the exactly solvable Kipnis--Marchioro--Presutti model of
heat conduction [J. Stat. Phys. 27 65 (1982)] is described whereby lattice
cells share their energies among many identical degrees of freedom while, in
each cell, only two of them are associated with energy exchanges connecting
neighbouring ce... | 1706.04849v1 |
2017-11-29 | On the local converse theorem and the descent theorem in families | We prove an analogue of Jacquet's conjecture on the local converse theorem
for \ell-adic families of co-Whittaker representations of GL_n(F), where F is a
finite extension of Q_p and \ell does not equal p. We also prove an analogue of
Jacquet's conjecture for a descent theorem, which asks for the smallest
collection of... | 1711.11159v1 |
2018-06-23 | List Decodability of Symbol-Pair Codes | We investigate the list decodability of symbol-pair codes in the present
paper. Firstly, we show that list decodability of every symbol-pair code does
not exceed the Gilbert-Varshamov bound. On the other hand, we are able to prove
that with high probability, a random symbol-pair code can be list decoded up to
the Gilbe... | 1806.08992v1 |
2018-07-05 | Volumetric performance capture from minimal camera viewpoints | We present a convolutional autoencoder that enables high fidelity volumetric
reconstructions of human performance to be captured from multi-view video
comprising only a small set of camera views. Our method yields similar
end-to-end reconstruction error to that of a probabilistic visual hull computed
using significantl... | 1807.01950v2 |
2018-10-26 | Immobilization of convex bodies in $R^n$ | We extend to arbitrary finite $n$ the notion of immobilization of a convex
body $O$ in $R^n$ by a finite set of points $P$ in the boundary of $O$. Because
of its importance for this problem, necessary and sufficient conditions are
found for the immobilization of an $n$-simplex. A fairly complete geometric
description o... | 1810.11381v1 |
2019-01-14 | Groupoids and the algebra of rewriting in group presentations | Presentations of groups by rewriting systems (that is, by monoid
presentations), have been fruitfully studied by encoding the rewriting system
in a $2$--complex -- the Squier complex -- whose fundamental groupoid then
describes the derivation of consequences of the rewrite rules. We describe a
reduced form of the Squie... | 1901.04348v1 |
2019-05-27 | Tuning Free Rank-Sparse Bayesian Matrix and Tensor Completion with Global-Local Priors | Matrix and tensor completion are frameworks for a wide range of problems,
including collaborative filtering, missing data, and image reconstruction.
Missing entries are estimated by leveraging an assumption that the matrix or
tensor is low-rank. Most existing Bayesian techniques encourage rank-sparsity
by modelling fac... | 1905.11496v1 |
2019-06-26 | Fairness criteria through the lens of directed acyclic graphical models | A substantial portion of the literature on fairness in algorithms proposes,
analyzes, and operationalizes simple formulaic criteria for assessing fairness.
Two of these criteria, Equalized Odds and Calibration by Group, have gained
significant attention for their simplicity and intuitive appeal, but also for
their inco... | 1906.11333v1 |
2020-01-14 | Neural Architecture Search for Deep Image Prior | We present a neural architecture search (NAS) technique to enhance the
performance of unsupervised image de-noising, in-painting and super-resolution
under the recently proposed Deep Image Prior (DIP). We show that evolutionary
search can automatically optimize the encoder-decoder (E-D) structure and
meta-parameters of... | 2001.04776v1 |
2020-07-18 | Finslerian convolution metrics and their special classes | Here, it is introduced a concept of convolution metric in Finslerian
Geometry. This convolution metric is a kind of function obtained by a given
mathematical operation between two Finslerian metrics. Some basic properties of
the Finslerian convolution metrics are studied. Then it is characterized
Finslerian convolution... | 2007.14803v3 |
2020-09-14 | What mathematical billiards teach us about statistical physics? | We survey applications of the theory of hyperbolic (and to a lesser extent
non hyperbolic) billiards to some fundamental problems of statistical physics
and their mathematically rigorous derivations in the framework of classical
Hamiltonian systems. | 2009.06284v2 |
2020-11-29 | Applications of the Backus-Gilbert method to linear and some non linear equations | We investigate the use of a functional analytical version of the
Backus-Gilbert Method as a reconstruction strategy to get specific information
about the solution of linear and slightly non-linear systems with Frech\'et
derivable operators. Some a priori error estimates are shown and tested for two
classes of problems:... | 2011.14407v1 |
2021-11-30 | Global weak solutions for the Landau-Lifshitz-Gilbert-Vlasov-Maxwell system coupled via emergent electromagnetic fields | Motivated by recent models of current driven magnetization dynamics, we
examine the coupling of the Landau-Lifshitz-Gilbert equation and classical
electron transport governed by the Vlasov-Maxwell system. The interaction is
based on space-time gyro-coupling in the form of emergent electromagnetic
fields of quantized he... | 2111.15482v1 |
2022-04-02 | Introduction to the Artificial Intelligence that can be applied to the Network Automation Journey | The computer network world is changing and the NetDevOps approach has brought
the dynamics of applications and systems into the field of communication
infrastructure. Businesses are changing and businesses are faced with
difficulties related to the diversity of hardware and software that make up
those infrastructures. ... | 2204.00800v1 |
2022-05-24 | Theory of the Energy Variance in a Quantum Bit | We define a new quantum Hermitian operator (namely, the energy variance
operator) which is simply duplicated from the statistical definition of energy
variance in classical physics. Its expectation value yields the standard
deviation of the energy about the mean value of this latter. We show by use of
an exact Hamilton... | 2205.12763v1 |
2022-07-11 | Quasilinear rough evolution equations | We investigate the abstract Cauchy problem for a quasilinear parabolic
equation in a Banach space of the form \( du_t -L_t(u_t)u_t dt = N_t(u_t)dt +
F(u_t)\cdot d\mathbf X_t \), where \( \mathbf X\) is a \( \gamma\)-H\"older
rough path for \( \gamma\in(1/3,1/2)\). We explore the mild formulation that
combines functiona... | 2207.04787v1 |
2022-08-01 | A Pansiot-type subword complexity theorem for automorphisms of free groups | Inspired by Pansiot's work on substitutions, we prove a similar theorem for
automorphisms of a free group F of finite rank: if a right-infinite word
represents an attracting fixed point of an automorphism of F, the subword
complexity of X is equivalent to n, n log log n, n log n, or n^2. The proof
uses combinatorial ar... | 2208.00676v1 |
2022-08-13 | May the force be with you | Modern methods in dimensionality reduction are dominated by nonlinear
attraction-repulsion force-based methods (this includes t-SNE, UMAP,
ForceAtlas2, LargeVis, and many more). The purpose of this paper is to
demonstrate that all such methods, by design, come with an additional feature
that is being automatically comp... | 2208.06676v1 |
2022-10-26 | Linearized frequency domain Landau-Lifshitz-Gilbert equation formulation | We present a general finite element linearized Landau-Lifshitz-Gilbert
equation (LLGE) solver for magnetic systems under weak time-harmonic excitation
field. The linearized LLGE is obtained by assuming a small deviation around the
equilibrium state of the magnetic system. Inserting such expansion into LLGE
and keeping ... | 2210.14525v1 |
2022-11-10 | Secure Aggregation Is Not All You Need: Mitigating Privacy Attacks with Noise Tolerance in Federated Learning | Federated learning is a collaborative method that aims to preserve data
privacy while creating AI models. Current approaches to federated learning tend
to rely heavily on secure aggregation protocols to preserve data privacy.
However, to some degree, such protocols assume that the entity orchestrating
the federated lea... | 2211.06324v1 |
2022-12-22 | Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation | In this paper we propose and analyse a method for estimating three quantities
related to an Asian option: the fair price, the cumulative distribution
function, and the probability density. The method involves preintegration with
respect to one well chosen integration variable to obtain a smooth function of
the remainin... | 2212.11493v2 |
2022-12-22 | Novel Bottomonium Results | We present the latest results from the use of the Backus-Gilbert method for
reconstructing the spectra of NRQCD bottomonium mesons using anisotropic
FASTSUM ensembles at non-zero temperature. We focus in particular on results
from the $\eta_b$, $\Upsilon$, $\chi_{b1}$ and $h_b$ generated from
Tikhonov-regularized Backu... | 2212.12016v1 |
2022-12-30 | Asymptotic stability of 2-domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction | We consider a ferromagnetic nanowire, with an energy functional $E$ with
easy-axis in the direction $e_1$, and which takes into account the
Dzyaloshinskii-Moriya interaction. We consider configurations of the
magnetization which are perturbations of two well separated domain wall, and
study their evolution under the La... | 2212.14589v1 |
2023-01-12 | Time Domain Verification of Differential Transmission Line Modeling Methods | The advantages and limitations of time-domain pseudo-random binary sequence
(PRBS) excitation methods for system identification of individual modes within
a multi-conductor transmission system are discussed. We develop the
modifications necessary to standard frequency-domain transmission-line models
to match time-domai... | 2301.05281v1 |
2023-01-17 | Power Supply Compensation for Capacitive Loads | As ASIC supply voltages approach one volt, the source-impedance goals for
power distribution networks are driven ever lower as well. One approach to
achieving these goals is to add decoupling capacitors of various values until
the desired impedance profile is obtained. An unintended consequence of this
approach can be ... | 2301.09580v1 |
2023-01-17 | Applications of Optimization Routines in Signal Integrity Analysis | Signal integrity analysis often involves the development of design guidelines
through manual manipulation of circuit parameters and judicious interpretation
of results. Such an approach can result in significant effort and sub-optimal
conclusions. Optimization routines have been well proven to aid analysis across
a var... | 2301.10157v1 |
2023-01-17 | High Speed Parallel Signal Crosstalk Cancellation Concept | High performance computing (HPC) systems make extensive use of high speed
electrical interconnects, in routing signals among processing elements, or
between processing elements and memory. Increasing bandwidth demands result in
high density, parallel I/O exposed to crosstalk due to tightly coupled
transmission lines. T... | 2301.10170v1 |
2023-04-05 | Elimination and Factorization | If a matrix $A$ has rank $r$, then its row echelon form (from elimination)
contains the identity matrix in its first $r$ independent columns. How do we
\emph{interpret the matrix} $F$ that appears in the remaining columns of that
echelon form\,? $F$ multiplies those first $r$ independent columns of $A$ to
give its $n-r... | 2304.02659v1 |
2023-04-25 | Jet: Multilevel Graph Partitioning on Graphics Processing Units | The multilevel heuristic is the dominant strategy for high-quality sequential
and parallel graph partitioning. Partition refinement is a key step of
multilevel graph partitioning. In this work, we present Jet, a new parallel
algorithm for partition refinement specifically designed for Graphics
Processing Units (GPUs). ... | 2304.13194v2 |
2023-05-16 | QHDL: a Low-Level Circuit Description Language for Quantum Computing | This paper proposes a descriptive language called QHDL, akin to VHDL, to
program gate-based quantum computing systems. Unlike other popular quantum
programming languages, QHDL targets low-level quantum computing programming and
aims to provide a common framework for programming FPGAs and gate-based quantum
computing sy... | 2305.09419v1 |
2023-05-21 | An Alternative Derivation of the Landau-Lifshitz-Gilbert Equation for Saturated Ferromagnets | The Landau-Lifshitz-Gilbert equation for rigid and saturated ferromagnets is
derived using a two-continuum model constructed by H.F. Tiersten for elastic
and saturated ferromagnets. The relevant basic laws of physics are applied
systematically to the two continua or their combination. The exchange
interaction is introd... | 2305.18232v1 |
2023-06-25 | Gilbert's conjecture and A new way to octonionic analytic functions from the clifford analysis | In this article we will give a affirmative answer to Gilbert's conjecture on
Hardy spaces of Clifford analytic functions in upper half-space of
$\mathbb{R}^8$. It depends on a explicit construction of Spinor space
$\mathcal{R}_8$ and Clifford algebra $Cl_8$ by octonion algbra. What's more ,
it gives us an associative w... | 2306.14164v1 |
2023-06-28 | Stochastic Landau-Lifshitz-Gilbert equations for frustrated magnets under fluctuating currents | We examine a stochastic Landau-Lifshitz-Gilbert equation for a frustrated
ferromagnet with competing first and second order exchange interactions exposed
to deterministic and random spin transfer torques in form of transport noise.
We prove the existence and pathwise uniqueness of weak martingale solutions in
the energ... | 2306.15843v1 |
2023-07-28 | MDS, Hermitian Almost MDS, and Gilbert-Varshamov Quantum Codes from Generalized Monomial-Cartesian Codes | We construct new stabilizer quantum error-correcting codes from generalized
monomial-Cartesian codes. Our construction uses an explicitly defined twist
vector, and we present formulas for the minimum distance and dimension.
Generalized monomial-Cartesian codes arise from polynomials in $m$ variables.
When $m=1$ our cod... | 2307.15488v1 |
2023-09-06 | Optimal Control of the 2D Landau-Lifshitz-Gilbert Equation with Control Energy in Effective Magnetic Field | The optimal control of magnetization dynamics in a ferromagnetic sample at a
microscopic scale is studied. The dynamics of this model is governed by the
Landau-Lifshitz-Gilbert equation on a two-dimensional bounded domain with the
external magnetic field (the control) applied through the effective field. We
prove the g... | 2309.02786v1 |
2023-09-22 | Relaxed optimal control for the stochastic Landau-Lifshitz-Gilbert equation | We consider the stochastic Landau-Lifshitz-Gilbert equation, perturbed by a
real-valued Wiener process. We add an external control to the effective field
as an attempt to drive the magnetization to a desired state and also to control
thermal fluctuations. We use the theory of Young measures to relax the given
control p... | 2309.12556v1 |
2023-11-29 | Bayesian interpretation of Backus-Gilbert methods | The extraction of spectral densities from Euclidean correlators evaluated on
the lattice is an important problem, as these quantities encode physical
information on scattering amplitudes, finite-volume spectra, inclusive decay
rates, and transport coefficients. In this contribution, we show that the
Bayesian approach t... | 2311.18125v1 |
2024-01-14 | Multilevel Metamodels: A Novel Approach to Enhance Efficiency and Generalizability in Monte Carlo Simulation Studies | Metamodels, or the regression analysis of Monte Carlo simulation (MCS)
results, provide a powerful tool to summarize MCS findings. However, an as of
yet unexplored approach is the use of multilevel metamodels (MLMM) that better
account for the dependent data structure of MCS results that arises from
fitting multiple mo... | 2401.07294v2 |
2024-02-29 | Evaluating the Gilbert-Varshamov Bound for Constrained Systems | We revisit the well-known Gilbert-Varshamov (GV) bound for constrained
systems. In 1991, Kolesnik and Krachkovsky showed that GV bound can be
determined via the solution of some optimization problem. Later, Marcus and
Roth (1992) modified the optimization problem and improved the GV bound in many
instances. In this wor... | 2402.18869v1 |
1992-06-18 | Wormholes and Supersymmetry | Revisions: reference added to: G. Gilbert, {\sl Nucl.Phys.} {\bf B328}, 159
(1989) | 9206072v2 |
1993-05-26 | Musings on Magnus | The object of this paper is to describe a simple method for proving that
certain groups are residually torsion-free nilpotent, to describe some new
parafree groups and to raise some new problems in honour of the memory of
Wilhelm Magnus. | 9305201v1 |
2001-10-17 | Expected number of distinct part sizes in a random integer composition | The asymptotics, as $n\to\infty$, for the expected number of distinct part
sizes in a random composition of an integer n is obtained. | 0110189v1 |
2003-12-29 | Non-hopfian relatively free groups | To solve problems of Gilbert Baumslag and Hanna Neumann, posed in the 1960's,
we construct a nontrivial variety of groups all of whose noncyclic free groups
are non-hopfian. | 0312491v1 |
2005-10-26 | Winning rate in the full-information best choice problem | Following a long-standing suggestion by Gilbert and Mosteller, we derive an
explicit formula for the asymptotic winning rate in the full-information
problem of the best choice. | 0510568v3 |
2007-12-20 | The dark matter as a light gravitino (II) | We address the question of gravitino dark matter in the context of gauge
mediated supersymmetry breaking models. | 0712.3465v1 |
2014-02-25 | Du-Hwang Characteristic Area: Catch-22 | The paper is devoted to description of two interconnected mistakes generated
by the gap in the Du and Hwang approach to Gilbert-Pollack Steiner ratio
conjecture. | 1402.6079v1 |
2016-06-01 | Existence of arbitrarily smooth solutions of the LLG equation in 3D with natural boundary conditions | We prove that the Landau-Lifshitz-Gilbert equation in three space dimensions
with homogeneous Neumann boundary conditions admits arbitrarily smooth
solutions, given that the initial data is sufficiently close to a constant
function. | 1606.00086v1 |
2018-10-28 | Asymptotic Gilbert-Varshamov bound on Frequency Hopping Sequences | Given a $q$-ary frequency hopping sequence set of length $n$ and size $M$
with Hamming correlation $H$, one can obtain a $q$-ary (nonlinear) cyclic code
of length $n$ and size $nM$ with Hamming distance $n-H$. Thus, every upper
bound on the size of a code from coding theory gives an upper bound on the size
of a frequen... | 1810.11757v2 |
2020-05-26 | Reidemeister Moves in Gauss Diagrams | We provide a simple algorithm for recognizing and performing Reidemeister
moves in a Gauss diagram. | 2005.12957v1 |
2021-05-26 | Lee Weight for Nonbinary Quantum Error Correction | We propose the quantum Lee weight for quantum errors, provide a
Gilbert-Varshamov type bound, and a code construction for the proposed weight. | 2105.12354v1 |
2021-09-19 | Compactness of isospectral conformal Finslerian metrics set on a 3-manifold | Let F be a Finslerian metric on an n-dimensional closed manifold M. In this
work, we study problems about compactness of isospectral sets of conformal
Finslerian metrics when n=3. | 2110.06338v2 |
2001-05-31 | Lower bound for the quantum capacity of a discrete memoryless quantum channel | We generalize the random coding argument of stabilizer codes and derive a
lower bound on the quantum capacity of an arbitrary discrete memoryless quantum
channel. For the depolarizing channel, our lower bound coincides with that
obtained by Bennett et al. We also slightly improve the quantum
Gilbert-Varshamov bound for... | 0105151v4 |
2007-08-30 | Asymptotic improvement of the Gilbert-Varshamov bound for linear codes | The Gilbert-Varshamov bound states that the maximum size A_2(n,d) of a binary
code of length n and minimum distance d satisfies A_2(n,d) >= 2^n/V(n,d-1)
where V(n,d) stands for the volume of a Hamming ball of radius d. Recently
Jiang and Vardy showed that for binary non-linear codes this bound can be
improved to A_2(n,... | 0708.4164v1 |
2007-09-26 | Finite Element Formalism for Micromagnetism | The aim of this work is to present the details of the finite element approach
we developed for solving the Landau-Lifschitz-Gilbert equations in order to be
able to treat problems involving complex geometries. There are several
possibilities to solve the complex Landau-Lifschitz-Gilbert equations
numerically. Our metho... | 0709.4153v1 |
2009-05-07 | Heat transport in stochastic energy exchange models of locally confined hard spheres | We study heat transport in a class of stochastic energy exchange systems that
characterize the interactions of networks of locally trapped hard spheres under
the assumption that neighbouring particles undergo rare binary collisions. Our
results provide an extension to three-dimensional dynamics of previous ones
applyin... | 0905.1051v1 |
2011-08-15 | Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation | We consider a kinetic model of self-propelled particles with alignment
interaction and with precession about the alignment direction. We derive a
hydrodynamic system for the local density and velocity orientation of the
particles. The system consists of the conservative equation for the local
density and a non-conserva... | 1108.2951v1 |
2011-09-30 | Magnetization Dynamics, Gyromagnetic Relation, and Inertial Effects | The gyromagnetic relation - i.e. the proportionality between the angular
momentum $\vec L$ (defined by an inertial tensor) and the magnetization $\vec
M$ - is evidence of the intimate connections between the magnetic properties
and the inertial properties of ferromagnetic bodies. However, inertia is absent
from the dyn... | 1109.6782v1 |
2012-08-28 | Decomposition of modified Landau-Lifshitz-Gilbert equation and corresponding analytic solutions | The Suzuki-Trotter decomposition in general allows one to divide the equation
of motion of a dynamical system into smaller parts whose integration are easier
than the original equation. In this study, we first rewrite by employing
feasible approximations the modified Landau-Lifshitz-Gilbert equation for
localized spins... | 1208.5545v1 |
2013-11-20 | Asymptotic Improvement of the Gilbert-Varshamov Bound on the Size of Permutation Codes | Given positive integers $n$ and $d$, let $M(n,d)$ denote the maximum size of
a permutation code of length $n$ and minimum Hamming distance $d$. The
Gilbert-Varshamov bound asserts that $M(n,d) \geq n!/V(n,d-1)$ where $V(n,d)$
is the volume of a Hamming sphere of radius $d$ in $\S_n$.
Recently, Gao, Yang, and Ge showe... | 1311.4925v1 |
2016-11-21 | On the List-Decodability of Random Self-Orthogonal Codes | In 2011, Guruswami-H{\aa}stad-Kopparty \cite{Gru} showed that the
list-decodability of random linear codes is as good as that of general random
codes. In the present paper, we further strengthen the result by showing that
the list-decodability of random {\it Euclidean self-orthogonal} codes is as
good as that of genera... | 1611.06673v1 |
2017-11-29 | Linear second-order IMEX-type integrator for the (eddy current) Landau-Lifshitz-Gilbert equation | Combining ideas from [Alouges et al. (Numer. Math., 128, 2014)] and
[Praetorius et al. (Comput. Math. Appl., 2017)], we propose a numerical
algorithm for the integration of the nonlinear and time-dependent
Landau-Lifshitz-Gilbert (LLG) equation which is unconditionally convergent,
formally (almost) second-order in time... | 1711.10715v1 |
2017-12-28 | Subquadratic time encodable codes beating the Gilbert-Varshamov bound | We construct explicit algebraic geometry codes built from the
Garcia-Stichtenoth function field tower beating the Gilbert-Varshamov bound for
alphabet sizes at least 192. Messages are identied with functions in certain
Riemann-Roch spaces associated with divisors supported on multiple places.
Encoding amounts to evalua... | 1712.10052v2 |
2018-11-15 | Hilbert-Schmidt distance and entanglement witnessing | Gilbert proposed an algorithm for bounding the distance between a given point
and a convex set. In this article we apply the Gilbert's algorithm to get an
upper bound on the Hilbert-Schmidt distance between a given state and the set
of separable states. While Hilbert Schmidt Distance does not form a proper
entanglement... | 1811.06599v3 |
2020-02-13 | Age of Information with Gilbert-Elliot Servers and Samplers | We study age of information in a status updating system that consists of a
single sampler, i.e., source node, that sends time-sensitive status updates to
a single monitor node through a server node. We first consider a Gilbert-Elliot
service profile at the server node. In this model, service times at the server
node fo... | 2002.05711v1 |
2005-08-26 | Damping of MHD turbulence in Solar Flares | (Abridged) We describe the cascade of plasma waves or turbulence injected,
presumably by reconnection, at scales comparable to the size of a solar flare
loop to scales comparable to particle gyroradii, and evaluate their damping by
various mechanisms. We show that the classical viscous damping is unimportant
for magnet... | 0508567v1 |
2011-07-27 | Constraint damping for the Z4c formulation of general relativity | One possibility for avoiding constraint violation in numerical relativity
simulations adopting free-evolution schemes is to modify the continuum
evolution equations so that constraint violations are damped away. Gundlach et.
al. demonstrated that such a scheme damps low amplitude, high frequency
constraint violating mo... | 1107.5539v2 |
1999-11-24 | Damped Lyman alpha absorber and the faint end of the galaxy luminosity function at high redshift | We combine predictions for several hierarchical cosmogonies with
observational evidence on damped Lyman alpha systems to establish a
correspondence between the high redshift galaxy population and the properties
of damped Lyman alpha systems. We assume that high redshift galaxies and damped
Lyman alpha systems are hoste... | 9911447v1 |
2003-03-13 | An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity | This paper introduces an extension of the time-splitting sine-spectral (TSSP)
method for solving damped focusing nonlinear Schr\"{o}dinger equations (NLS).
The method is explicit, unconditionally stable and time transversal invariant.
Moreover, it preserves the exact decay rate for the normalization of the wave
functio... | 0303158v1 |
2004-11-03 | Quantum probability applied to the damped harmonic oscillator | In this introductory course we sketch the framework of quantum probability in
order to discuss open quantum systems, in particular the damped harmonic
oscillator. | 0411024v1 |
2006-11-23 | Path integrals and wavepacket evolution for damped mechanical systems | Damped mechanical systems with various forms of damping are quantized using
the path integral formalism. In particular, we obtain the path integral kernel
for the linearly damped harmonic oscillator and a particle in a uniform
gravitational field with linearly or quadratically damped motion. In each case,
we study the ... | 0611239v1 |
2007-07-05 | Damping of bulk excitations over an elongated BEC - the role of radial modes | We report the measurement of Beliaev damping of bulk excitations in cigar
shaped Bose Einstein condensates of atomic vapor. By using post selection,
excitation line shapes of the total population are compared with those of the
undamped excitations. We find that the damping depends on the initial
excitation energy of th... | 0707.0776v1 |
2008-09-22 | Damping in 2D and 3D dilute Bose gases | Damping in 2D and 3D dilute gases is investigated using both the
hydrodynamical approach and the Hartree-Fock-Bogoliubov (HFB) approximation .
We found that the both methods are good for the Beliaev damping at zero
temperature and Landau damping at very low temperature, however, at high
temperature, the hydrodynamical ... | 0809.3632v3 |
2008-12-08 | Landau Damping and Alfven Eigenmodes of Neutron Star Torsion Oscillations | Torsion oscillations of the neutron star crust are Landau damped by the
Alfven continuum in the bulk. For strong magnetic fields (in magnetars),
undamped Alfven eigenmodes appear. | 0812.1570v1 |
2010-09-24 | Spatial Damping of Propagating Kink Waves in Prominence Threads | Transverse oscillations and propagating waves are frequently observed in
threads of solar prominences/filaments and have been interpreted as kink
magnetohydrodynamic (MHD) modes. We investigate the spatial damping of
propagating kink MHD waves in transversely nonuniform and partially ionized
prominence threads. Resonan... | 1009.4871v1 |
2012-08-01 | Artificial Neural Network Based Prediction of Optimal Pseudo-Damping and Meta-Damping in Oscillatory Fractional Order Dynamical Systems | This paper investigates typical behaviors like damped oscillations in
fractional order (FO) dynamical systems. Such response occurs due to the
presence of, what is conceived as, pseudo-damping and meta-damping in some
special class of FO systems. Here, approximation of such damped oscillation in
FO systems with the con... | 1208.0318v1 |
2012-08-27 | Optimization of the damped quantum search | The damped quantum search proposed in [A. Mizel, Phys. Rev. Lett., 102 150501
(2009)] was analyzed by calculating the highest possible probability of finding
the target state in each iteration. A new damping parameter that depends on the
number of iterations was obtained, this was compared to the critical damping
param... | 1208.5475v1 |
2013-04-03 | Damping the zero-point energy of a harmonic oscillator | The physics of quantum electromagnetism in an absorbing medium is that of a
field of damped harmonic oscillators. Yet until recently the damped harmonic
oscillator was not treated with the same kind of formalism used to describe
quantum electrodynamics in a arbitrary medium. Here we use the techniques of
macroscopic QE... | 1304.0977v2 |
2015-05-28 | Damping factors for head-tail modes at strong space charge | This paper suggests how feedback and Landau damping can be taken into account
for transverse oscillations of bunched beam at strong space charge. | 1505.07704v1 |
2015-06-18 | Damping of MHD turbulence in partially ionized plasma: implications for cosmic ray propagation | We study the damping from neutral-ion collisions of both incompressible and
compressible magnetohydrodynamic (MHD) turbulence in partially ionized medium.
We start from the linear analysis of MHD waves applying both single-fluid and
two-fluid treatments. The damping rates derived from the linear analysis are
then used ... | 1506.05585v1 |
2016-02-04 | Damping Evaluation for Free Vibration of Spherical Structures in Elastodynamic-Acoustic Interaction | This paper discusses the free vibration of elastic spherical structures in
the presence of an externally unbounded acoustic medium. In this vibration,
damping associated with the radiation of energy from the confined solid medium
to the surrounding acoustic medium is observed. Evaluating the coupled system
response (so... | 1604.06738v1 |
2017-09-05 | Enhancement of space-charge induced damping due to reactive impedances for head-tail modes | Landau damping of head-tail modes in bunches due to spreads in the tune shift
can be a deciding factor for beam stability. We demonstrate that the coherent
tune shifts due to reactive impedances can enhance the space-charge induced
damping and change the stability thresholds (here, a reactive impedance implies
the imag... | 1709.01425v1 |
2018-05-21 | Critical damping in nonviscously damped linear systems | In structural dynamics, energy dissipative mechanisms with non-viscous
damping are characterized by their dependence on the time-history of the
response velocity, mathematically represented by convolution integrals
involving hereditary functions. Combination of damping parameters in the
dissipative model can lead the s... | 1805.08022v1 |
2018-11-01 | Hereditary effects of exponentially damped oscillators with past histories | Hereditary effects of exponentially damped oscillators with past histories
are considered in this paper. Nonviscously damped oscillators involve
hereditary damping forces which depend on time-histories of vibrating motions
via convolution integrals over exponentially decaying functions. As a result,
this kind of oscill... | 1811.00216v1 |
2019-08-01 | The Temperature-dependent Damping of Propagating Slow Magnetoacoustic Waves | The rapid damping of slow magnetoacoustic waves in the solar corona has been
extensively studied in previous years. Most studies suggest that thermal
conduction is a dominant contributor to this damping, albeit with a few
exceptions. Employing extreme-ultraviolet (EUV) imaging data from SDO/AIA, we
measure the damping ... | 1908.00384v1 |
2019-10-14 | Decay rates for the damped wave equation with finite regularity damping | Decay rates for the energy of solutions of the damped wave equation on the
torus are studied. In particular, damping invariant in one direction and equal
to a sum of squares of nonnegative functions with a particular number of
derivatives of regularity is considered. For such damping energy decays at rate
$1/t^{2/3}$. ... | 1910.06372v3 |
2022-07-01 | Seismic Response of Yielding Structures Coupled to Rocking Walls with Supplemental Damping | Given that the coupling of a framing structure to a strong, rocking wall
enforces a first-mode response, this paper investigates the dynamic response of
a yielding single-degree-of-freedom oscillator coupled to a rocking wall with
supplemental damping (hysteretic or linear viscous) along its sides. The full
nonlinear e... | 2207.00641v1 |
2023-03-08 | Material-Geometry Interplay in Damping of Biomimetic Scale Beams | Biomimetic scale-covered substrates are architected meta-structures
exhibiting fascinating emergent nonlinearities via the geometry of collective
scales contacts. In spite of much progress in understanding their elastic
nonlinearity, their dissipative behavior arising from scales sliding is
relatively uninvestigated in... | 2303.04920v1 |
1998-03-28 | Landau damping and the echo effect in a confined Bose-Einstein condensate | Low energy collective mode of a confined Bose-Einstein condensate should
demonstrate the echo effect in the regime of Landau damping. This echo is a
signature of reversible nature of Landau damping. General expression for the
echo profile is derived in the limit of small amplitudes of the external
pulses. Several unive... | 9803351v1 |
2000-07-10 | Dephasing of Electrons on Helium by Collisions with Gas Atoms | The damping of quantum effects in the transport properties of electrons
deposited on a surface of liquid helium is studied. It is found that due to
vertical motion of the helium vapour atoms the interference of paths of
duration $t$ is damped by a factor $\exp - (t/\tau_v)^3$. An expression is
derived for the weak-loca... | 0007160v1 |
1997-10-07 | Damping rate of plasmons and photons in a degenerate nonrelativistic plasma | A calculation is presented of the plasmon and photon damping rates in a dense
nonrelativistic plasma at zero temperature, following the resummation program
of Braaten-Pisarski. At small soft momentum $k$, the damping is dominated by $3
\to 2$ scattering processes corresponding to double longitudinal Landau
damping. The... | 9710260v1 |
2002-12-16 | Influence of damping on the vanishing of the electro-optic effect in chiral isotropic media | Using first principles, it is demonstrated that radiative damping alone
cannot lead to a nonvanishing electro-optic effect in a chiral isotropic
medium. This conclusion is in contrast with that obtained by a calculation in
which damping effects are included using the standard phenomenological model.
We show that these ... | 0212089v1 |
2005-08-28 | Simultaneous amplitude and phase damping of a kind of Gaussian states and their separability | We give out the time evolution solution of simultaneous amplitude and phase
damping for any continuous variable state. For the simultaneous amplitude and
phase damping of a wide class of two- mode entangled Gaussian states, two
analytical conditions of the separability are given. One is the sufficient
condition of sepa... | 0508209v2 |
2007-05-14 | Identification of the dominant precession damping mechanism in Fe, Co, and Ni by first-principles calculations | The Landau-Lifshitz equation reliably describes magnetization dynamics using
a phenomenological treatment of damping. This paper presents first-principles
calculations of the damping parameters for Fe, Co, and Ni that quantitatively
agree with existing ferromagnetic resonance measurements. This agreement
establishes th... | 0705.1990v1 |
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