publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
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2015-03-16 | Impact of Current on Static and Kinetic Depinning Fields of Domain Wall in Ferromagnetic Nanostrip | The impact of current on static and kinetic depinning fields of a domain wall
in an one dimensional ferromagnetic nanostrip is investigated by solving the
Landau-Lifshitz-Gilbert equation with adiabatic and non-adiabatic spin-transfer
torques analytically and numerically. The results show that in the absence of
current... | 1503.04553v1 |
2015-04-17 | Critical analysis and remedy of switching failures in straintronic logic using Bennett clocking in the presence of thermal fluctuations | Straintronic logic is a promising platform for beyond Moore's law computing.
Using Bennett clocking mechanism, information can propagate through an array of
strain-mediated multiferroic nanomagnets exploiting the dipolar coupling
between the magnets without having to physically interconnect them. Here we
perform a crit... | 1504.04618v1 |
2015-06-18 | Landauer limit of energy dissipation in a magnetostrictive particle | According to Landauer's principle, a minimum amount of energy proportional to
temperature must be dissipated during the erasure of a classical bit of
information compensating the entropy loss, thereby linking the information and
thermodynamics. Here we show that the Landauer limit of energy dissipation is
achievable in... | 1506.07897v1 |
2015-06-29 | Pseudo-Spin Based Dynamical Model for Polarisation Switching in Ferroelectrics | A microscopic view of the response of the electric dipoles to a dynamic
external field in a ferroelectric (FE) chain has been studied by two spin
dynamics methods. One is the prominent micromagnetic approach, and the other is
the micromagnetic approach with a variable size of the pseudo-spin. The energy
stored in the f... | 1506.08500v2 |
2015-07-13 | Explicit Construction of AG Codes from Generalized Hermitian Curves | We present multi-point algebraic geometric codes overstepping the
Gilbert-Varshamov bound. The construction is based on the generalized Hermitian
curve introduced by A. Bassa, P. Beelen, A. Garcia, and H. Stichtenoth. These
codes are described in detail by constrcting a generator matrix. It turns out
that these codes h... | 1507.03418v1 |
2015-07-22 | Reflexive insensitive modal logics | We analyze a class of modal logics rendered insensitive to reflexivity by way
of a modification to the semantic definition of the modal operator. We explore
the extent to which these logics can be characterized, and prove a general
completeness theorem on the basis of a translation between normal modal logics
and their... | 1507.06113v1 |
2015-08-24 | Spin Dynamics Simulation of the Magneto-Electric Effect in a Composite Multiferroic Chain | A composite multiferroic chain with an interfacial linear magneto-electric
coupling is used to study the magnetic and electric responses to an external
magnetic or electric field. The simulation uses continuous spin dynamics
through the Landau-Lifshitz-Gilbert equations of the magnetic spin and the
electric pseudo-spin... | 1508.05693v1 |
2015-10-16 | Reaction diffusion dynamics and the Schryer-Walker solution for domain walls of the Landau-Lifshitz-Gilbert equation | We study the dynamics of the equation obtained by Schryer and Walker for the
motion of domain walls. The reduced equation is a reaction diffusion equation
for the angle between the applied field and the magnetization vector. If the
hard axis anisotropy $K_d$ is much larger than the easy axis anisotropy $K_u$,
there is ... | 1510.04927v1 |
2015-11-06 | Dynamic Response in a Finite Size Composite Multiferroic Thin Film | Composite multiferroics, heterostructures of ferromagnetic (FM) and
ferroelectric (FE) materials, are characterized by a remarkable magnetoelectric
effect at the interface. Previous work has supported the ferromagnetic
structure with magnetic spins and the ferroelectric with pseudospins which act
as electric dipoles in... | 1511.01982v2 |
2015-12-18 | Existence of travelling-wave solutions representing domain wall motion in a thin ferromagnetic nanowire | We study the dynamics of a domain wall under the influence of applied
magnetic fields in a one-dimensional ferromagnetic nanowire, governed by the
Landau--Lifshitz--Gilbert equation. Existence of travelling-wave solutions
close to two known static solutions is proven using
implicit-function-theorem-type arguments. | 1512.06016v2 |
2016-01-18 | On Simultaneous Percolation with Two Disk Types | In this paper we consider the simultaneous percolation of two Gilbert disk
models. The two models are connected through excluding disks, which prevent
elements of the second model to be in the vicinity of the first model. Under
these assumptions we characterize the region of densities in which the two
models both have ... | 1601.04471v2 |
2016-01-22 | Toward a New Microscopic Framework for Kondo Lattice Materials | Understanding the emergence and subsequent behavior of heavy electrons in
Kondo lattice materials is one of the grand challenges in condensed matter
physics. In this perspective we review the progress that has been made during
the past decade and suggest some directions for future research. Our focus will
be on develop... | 1601.06050v1 |
2016-02-01 | The Eddy Current-LLG Equations-Part I: FEM-BEM Coupling | We analyse a numerical method for the coupled system of the eddy current
equations in $\mathbb{R}^3$ with the Landau-Lifshitz-Gilbert equation in a
bounded domain. The unbounded domain is discretised by means of
finite-element/boundary-element coupling. Even though the considered problem is
strongly nonlinear, the nume... | 1602.00744v1 |
2016-02-01 | The Eddy Current--LLG Equations: FEM-BEM Coupling and A Priori Error Estimates | We analyze a numerical method for the coupled system of the eddy current
equations in $\mathbb{R}^3$ with the Landau-Lifshitz-Gilbert equation in a
bounded domain. The unbounded domain is discretized by means of
finite-element/boundary-element coupling. Even though the considered problem is
strongly nonlinear, the nume... | 1602.00745v2 |
2016-02-24 | Partial Category Actions on Sets and Topological Spaces | We introduce (continuous) partial category actions on sets (topological
spaces) and show that each such action admits a universal globalization.
Thereby, we obtain a simultaneous generalization of corresponding results for
groups, by Kellendonk and Lawson, and for monoids, by Megrelishvili and
Schroder. We apply this r... | 1602.07541v4 |
2016-05-20 | Interlayer interaction in multilayer CoPt/Co structures | We report a study of interlayer exchange interaction in multilayer CoPt/Co
structures consisting of periodic CoPt multilayer film with an "easy axis"
anisotropy and thick Co layer with an "easy plane" anisotropy separated by Pt
spacer with variable thickness. The magnetooptical Kerr effect (MOKE) and
ferromagnetic reso... | 1605.06468v1 |
2016-06-02 | On self-dual double negacirculant codes | Double negacirculant (DN) codes are the analogues in odd characteristic of
double circulant codes. Self-dual DN codes of odd dimension are shown to be
consta-dihedral. Exact counting formulae are derived for DN codes. The special
class of length a power of two is studied by means of Dickson polynomials, and
is shown to... | 1606.00815v1 |
2016-07-12 | Tailoring the topological details of the magnetic skyrmion by the spin configuration at the edges | The magnetic skyrmion structure can be formed in the chiral magnets (CMs)
with strong Dzyaloshinskii-Moriya interactions. In this work, we propose a way
of artificially tailoring the topological details of the skyrmion such as its
radial and whirling symmetric patterns by external magnetic fields besieging
the CM slab.... | 1607.03268v2 |
2016-09-07 | Entanglement manipulation by a magnetic pulse in Gd3N@C80 endohedral metallofullerenes on a Cu(001) surface | In this paper we present result of theoretical calculation of entanglement
within a spin structure of Gd3N@C80 under the in uence of rectangular impulses.
Research is conducted using general spin Hamiltonian within SSNQ (spin system
of N-qubits). Calculation of entanglement with variable impulse is performed
using the ... | 1609.01959v1 |
2016-09-10 | Optical tomography on graphs | We present an algorithm for solving inverse problems on graphs analogous to
those arising in diffuse optical tomography for continuous media. In
particular, we formulate and analyze a discrete version of the inverse Born
series, proving estimates characterizing the domain of convergence,
approximation errors, and stabi... | 1609.03041v1 |
2016-09-30 | Interaction Between a Domain Wall and Spin Supercurrent in Easy-cone Magnets | A domain wall and spin supercurrent can coexist in magnets with easy-cone
anisotropy owing to simultaneous spontaneous breaking of Z$_2$ and U(1)
symmetries. Their interaction is theoretically investigated in quasi
one-dimensional ferromagnets within the Landau-Lifshitz-Gilbert phenomenology.
Specifically, we show that... | 1610.00034v1 |
2016-10-04 | A Local Inverse Formula and a Factorization | When a matrix has a banded inverse there is a remarkable formula that quickly
computes that inverse, using only local information in the original matrix.
This local inverse formula holds more generally, for matrices with sparsity
patterns that are examples of chordal graphs or perfect eliminators. The
formula has a lon... | 1610.01230v1 |
2016-10-10 | Parametric frequency mixing in the magneto-elastically driven FMR-oscillator | We demonstrate the nonlinear frequency conversion of ferromagnetic resonance
(FMR) frequency by optically excited elastic waves in a thin metallic film on
dielectric substrates. Time-resolved probing of the magnetization directly
witnesses magneto-elastically driven second harmonic generation, sum- and
difference frequ... | 1610.02926v1 |
2016-11-05 | Magnonic analog of relativistic Zitterbewegung in an antiferromagnetic spin chain | We theoretically investigate the spin wave (magnon) excitations in a
classical antiferromagnetic spin chain with easy-axis anisotropy. We obtain a
Dirac-like equation by linearizing the Landau- Lifshitz-Gilbert equation in
this antiferromagnetic system, in contrast to the ferromagnetic system in which
a Schr\"{o}dinger... | 1611.01512v2 |
2016-11-15 | The norm of the Fourier transform on compact or discrete abelian groups | We calculate the norm of the Fourier operator from $L^p(X)$ to $L^q(\hat{X})$
when $X$ is an infinite locally compact abelian group that is, furthermore,
compact or discrete. This subsumes the sharp Hausdorff-Young inequality on such
groups. In particular, we identify the region in $(p,q)$-space where the norm
is infin... | 1611.04692v1 |
2016-12-01 | Optimizing Quantiles in Preference-based Markov Decision Processes | In the Markov decision process model, policies are usually evaluated by
expected cumulative rewards. As this decision criterion is not always suitable,
we propose in this paper an algorithm for computing a policy optimal for the
quantile criterion. Both finite and infinite horizons are considered. Finally
we experiment... | 1612.00094v1 |
2017-02-02 | Magnon Condensation and Spin Superfluidity | We consider the phenomenon of Bose-Einstein condensation of quasi-equilibrium
magnons which leads to a spin superfluidity, the coherent quantum transfer of
magnetization in magnetic materials. These phenomena are beyond the classical
Landau-Lifshitz-Gilbert paradigm. The critical conditions for excited magnon
density f... | 1702.00846v2 |
2017-02-09 | Transient spin dynamics in a single-molecule magnet | We explore the limitations and validity of semi-classically formulated spin
equations of motion. Using a single-molecule magnet as a test model, we employ
three qualitatively different approximation schemes. From a microscopic model,
we derive a generalized spin equation of motion in which the parameters have a
non-loc... | 1702.02820v2 |
2017-03-05 | On the VC-Dimension of Binary Codes | We investigate the asymptotic rates of length-$n$ binary codes with
VC-dimension at most $dn$ and minimum distance at least $\delta n$. Two upper
bounds are obtained, one as a simple corollary of a result by Haussler and the
other via a shortening approach combining Sauer-Shelah lemma and the linear
programming bound. ... | 1703.01586v2 |
2017-03-09 | Long quasi-polycyclic $t-$CIS codes | We study complementary information set codes of length $tn$ and dimension $n$
of order $t$ called ($t-$CIS code for short). Quasi-cyclic and quasi-twisted
$t$-CIS codes are enumerated by using their concatenated structure. Asymptotic
existence results are derived for one-generator and have co-index $n$ by
Artin's conje... | 1703.03109v1 |
2017-09-05 | On the Lagrangian branched transport model and the equivalence with its Eulerian formulation | First we present two classical models of Branched Transport: the Lagrangian
model introduced by Bernot, Caselles, Morel, Maddalena, Solimini, and the
Eulerian model introduced by Xia. An emphasis is put on the Lagrangian model,
for which we give a complete proof of existence of minimizers in a
--hopefully-- simplified ... | 1709.01414v1 |
2017-09-09 | On Low-Risk Heavy Hitters and Sparse Recovery Schemes | We study the heavy hitters and related sparse recovery problems in the
low-failure probability regime. This regime is not well-understood, and has
only been studied for non-adaptive schemes. The main previous work is one on
sparse recovery by Gilbert et al.(ICALP'13). We recognize an error in their
analysis, improve th... | 1709.02919v3 |
2017-10-30 | Lattice calculation of hadronic tensor of the nucleon | We report an attempt to calculate the deep inelastic scattering structure
functions from the hadronic tensor calculated on the lattice. We used the
Backus-Gilbert reconstruction method to address the inverse Laplace
transformation for the analytic continuation from the Euclidean to the
Minkowski space. | 1710.11145v1 |
2017-10-31 | TF Boosted Trees: A scalable TensorFlow based framework for gradient boosting | TF Boosted Trees (TFBT) is a new open-sourced frame-work for the distributed
training of gradient boosted trees. It is based on TensorFlow, and its
distinguishing features include a novel architecture, automatic loss
differentiation, layer-by-layer boosting that results in smaller ensembles and
faster prediction, princ... | 1710.11555v1 |
2017-11-08 | Micromagnetic simulation study of a disordered model for one-dimensional granular perovskite manganite oxide nanostructures | Chemical techniques are an efficient method to synthesize one-dimensional
perovskite manganite oxide nanostructures with a granular morphology, that is,
formed by arrays of monodomain magnetic nanoparticles. Integrating the
stochastic Landau-Lifshitz-Gilbert equation, we simulate the dynamics of a
simple disordered mod... | 1711.03159v2 |
2017-11-21 | Construction of asymptotically good locally repairable codes via automorphism groups of function fields | Locally repairable codes have been investigated extensively in recent years
due to practical application in distributed storage as well as theoretical
interest. However, not much work on asymptotical behavior of locally repairable
codes has been done until now. In particular, there is a little result on
constructive lo... | 1711.07703v1 |
2017-11-21 | Stability of axisymmetric chiral skyrmions | We examine topological solitons in a minimal variational model for a chiral
magnet, so-called chiral skyrmions. In the regime of large background fields,
we prove linear stability of axisymmetric chiral skyrmions under arbitrary
perturbations in the energy space, a long-standing open question in physics
literature. Mor... | 1711.07717v1 |
2017-12-13 | Mutual synchronization of spin-torque oscillators consisting of perpendicularly magnetized free layers and in-plane magnetized pinned layers | A mutual synchronization of spin-torque oscillators coupled through current
injection is studied theoretically. Models of electrical coupling in parallel
and series circuits are proposed. Solving the Landau-Lifshitz-Gilbert equation,
excitation of in-phase or antiphase synchronization, depending on the ways the
oscilla... | 1712.04591v1 |
2018-01-25 | Pharmacokinetics Simulations for Studying Correlates of Prevention Efficacy of Passive HIV-1 Antibody Prophylaxis in the Antibody Mediated Prevention (AMP) Study | A key objective in two phase 2b AMP clinical trials of VRC01 is to evaluate
whether drug concentration over time, as estimated by non-linear mixed effects
pharmacokinetics (PK) models, is associated with HIV infection rate. We
conducted a simulation study of marker sampling designs, and evaluated the
effect of study ad... | 1801.08626v1 |
2018-03-30 | Nanostructured Ceramic Oxides with a Slow Crack Growth Resistance Close to Covalent Materials | Oxide ceramics are sensitive to slow crack growth because adsorption of water
can take place at the crack tip, leading to a strong decrease of the surface
energy in humid (or air) conditions. This is a major drawback concerning
demanding, long-term applications such as orthopaedic implants. Here we show
that a specific... | 1804.01393v1 |
2018-05-30 | Quantum Annealed Criticality | Experimentally there exist many materials with first-order phase transitions
at finite temperature that display quantum criticality. Classically a
strain-energy density coupling is known to drive first-order transitions in
compressible systems, and here we generalize this Larkin-Pikin mechanism to the
quantum case. We ... | 1805.11771v1 |
2018-08-03 | A thermally driven spin-transfer-torque system far from equilibrium: enhancement of the thermoelectric current via pumping current | We consider a small itinerant ferromagnet exposed to an external magnetic
field and strongly driven by a thermally induced spin current. For this model,
we derive the quasi-classical equations of motion for the magnetization where
the effects of a dynamical non-equilibrium distribution function are taken into
account s... | 1808.01192v1 |
2018-09-12 | But How Does It Work in Theory? Linear SVM with Random Features | We prove that, under low noise assumptions, the support vector machine with
$N\ll m$ random features (RFSVM) can achieve the learning rate faster than
$O(1/\sqrt{m})$ on a training set with $m$ samples when an optimized feature
map is used. Our work extends the previous fast rate analysis of random
features method from... | 1809.04481v3 |
2018-09-22 | Optimizing a Generalized Gini Index in Stable Marriage Problems: NP-Hardness, Approximation and a Polynomial Time Special Case | This paper deals with fairness in stable marriage problems. The idea studied
here is to achieve fairness thanks to a Generalized Gini Index (GGI), a
well-known criterion in inequality measurement, that includes both the
egalitarian and utilitarian criteria as special cases. We show that determining
a stable marriage op... | 1809.08453v1 |
2018-10-17 | Out-of-plane auto-oscillation in spin Hall oscillator with additional polarizer | The theoretical investigation on magnetization dynamics excited by the spin
Hall effect in metallic multilayers having two ferromagnets is discussed. The
relaxation of the transverse spin in one ferromagnet enables us to manipulate
the direction of the spin-transfer torque excited in another ferromagnet,
although the s... | 1810.07831v1 |
2018-11-23 | Most Graphs are Knotted | We present four models for a random graph and show that, in each case, the
probability that a graph is intrinsically knotted goes to one as the number of
vertices increases. We also argue that, for $k \geq 18$, most graphs of order
$k$ are intrinsically knotted and, for $k \geq 2n+9$, most of order $k$ are not
$n$-apex... | 1811.09726v1 |
2018-12-13 | Entanglement-assisted quantum error-correcting codes over arbitrary finite fields | We prove that the known formulae for computing the optimal number of
maximally entangled pairs required for entanglement-assisted quantum
error-correcting codes (EAQECCs) over the binary field hold for codes over
arbitrary finite fields as well. We also give a Gilbert-Varshamov bound for
EAQECCs and constructions of EA... | 1812.05312v4 |
2019-01-23 | Coupled dynamics of magnetizations in spin-Hall oscillators via spin current injection | An array of spin torque oscillators (STOs) for practical applications such as
pattern recognition was recently proposed, where several STOs are connected by
a common nonmagnet. In this structure, in addition to the electric and/or
magnetic interactions proposed in previous works, the STOs are spontaneously
coupled to e... | 1901.07669v1 |
2019-01-28 | A Multi-parameter regression model for interval censored survival data | We develop flexible multi-parameter regression survival models for interval
censored survival data arising in longitudinal prospective studies and
longitudinal randomised controlled clinical trials. A multi-parameter Weibull
regression survival model, which is wholly parametric, and has non-proportional
hazards, is the... | 1901.09634v1 |
2019-02-15 | Stochastic homogenization of the Landau-Lifshitz-Gilbert equation | Following the ideas of V. V. Zhikov and A. L. Pyatnitski, and more precisely
the stochastic two-scale convergence, this paper establishes a homogenization
theorem in a stochastic setting for two nonlinear equations : the equation of
harmonic maps into the sphere and the Landau-Lifschitz equation. These
equations have s... | 1902.05743v1 |
2019-03-06 | Cluster multipole dynamics in non-collinear antiferromagnets | A systematic framework to investigate spin dynamics in non-collinear
antiferromagnet is proposed. Taking Mn$_3$Sn as a representative example, we
derive an effective low energy model based on the multipole expansion of the
magnetic structure, and investigate the uniform precession and the domain wall
dynamics. We show ... | 1903.02259v1 |
2019-03-22 | Learning magnetization dynamics | Deep neural networks are used to model the magnetization dynamics in magnetic
thin film elements. The magnetic states of a thin film element can be
represented in a low dimensional space. With convolutional autoencoders a
compression ratio of 1024:1 was achieved. Time integration can be performed in
the latent space wi... | 1903.09499v1 |
2019-04-01 | Synchrony breakdown and noise-induced oscillation death in ensembles of serially connected spin-torque oscillators | We consider collective dynamics in the ensemble of serially connected
spin-torque oscillators governed by the Landau-Lifshitz-Gilbert-Slonczewski
magnetization equation. Proximity to homoclinicity hampers synchronization of
spin-torque oscillators: when the synchronous ensemble experiences the
homoclinic bifurcation, t... | 1904.00897v1 |
2019-04-21 | Global classical solutions to an evolutionary model for magnetoelasticity | In this paper, we first prove the local-in-time existence of the evolutionary
model for magnetoelasticity with finite initial energy by employing the
nonlinear iterative approach given in \cite{Jiang-Luo-2019-SIAM} to deal with
the geometric constraint $M \in \mathbb{S}^{d-1}$ in the
Landau-Lifshitz-Gilbert (LLG) equat... | 1904.09531v1 |
2019-06-21 | Thermal Collapse of a Skyrmion | Thermal collapse of an isolated skyrmion on a two-dimensional spin lattice
has been investigated. The method is based upon solution of the system of
stochastic Landau-Lifshitz-Gilbert equations for up $10^4$ spins. Recently
developed pulse-noise algorithm has been used for the stochastic component of
the equations. The... | 1906.09132v3 |
2019-06-23 | Random subgroups, automorphisms, splittings | We show that, if $H$ is a random subgroup of a finitely generated free group
$F_k$, only inner automorphisms of $F_k$ may leave $H$ invariant. A similar
result holds for random subgroups of toral relatively hyperbolic groups, more
generally of groups which are hyperbolic relative to slender subgroups. These
results fol... | 1906.09654v1 |
2019-07-28 | Polarization of the Cosmic Infrared Background Fluctuations | The cosmic infrared background (CIB) is slightly polarized. Polarization
directions of individual galaxies could be aligned with tidal fields around
galaxies, resulting in nonzero CIB polarization. We use a linear intrinsic
alignment model to theoretically predict angular correlations of the CIB
polarization fluctuatio... | 1907.12085v1 |
2019-08-05 | Constructive asymptotic bounds of locally repairable codes via function fields | Locally repairable codes have been investigated extensively in recent years
due to practical applications in distributed and cloud storage systems.
However, there are few asymptotical constructions of locally repairable codes
in the literature. In this paper, we provide an explicit asymptotic
construction of locally re... | 1908.01471v1 |
2019-10-25 | Application-Layer Coding with Intermittent Feedback under Delay and Duty-Cycle Constraints | We propose two application-layer coding schemes for delay-constrained
point-to-point packet communications with restrictions on the transmitter's
maximum duty-cycle. The schemes operate over GF(2) and utilize intermittently
available receiver feedback for erasure correction. Applications that will
benefit from the prop... | 1910.11700v2 |
2019-10-28 | Dissipative solutions to a system for the flow of magnetoviscoelastic materials | We address the question of global in time existence of solutions to a
magnetoviscoelastic system with general initial data. We show that the notion
of dissipative solutions allows to prove such an existence in two and three
dimensions. This extends an earlier result for the viscoelastic subsystem to
the setting which i... | 1910.12751v2 |
2019-12-09 | Multi-reference protocol for (auto)ionization spectra: application to molecules | We present the application of the spherically averaged continuum model to the
evaluation of molecular photoelectron and resonant Auger electron spectra. In
this model, the continuum wave function is obtained in a numerically efficient
way by solving the radial Schr\"odinger equation with a spherically averaged
molecula... | 1912.04139v1 |
2020-01-25 | Phase estimation of spin-torque oscillator by nonlinear spin-torque diode effect | A theoretical analysis is developed on spin-torque diode effect in nonlinear
region. An analytical solution of the diode voltage generated from spin-torque
oscillator by the rectification of an alternating current is derived. The diode
voltage is revealed to depend nonlinearly on the phase difference between the
oscill... | 2001.09247v1 |
2020-04-06 | Frequency enhancement and power tunability in tilted polarizer spin-torque nano oscillator | In the absence of an applied magnetic field, a spin-torque nano
oscillator(STNO) with a tilted polarizer is studied using numerical simulation
of the associated Landau-Lifshitz-Gilbert-Slonczewski equation. We find
considerable enhancement of frequency by tilting the polarizer out-of-plane
appropriately. Also, we obser... | 2004.02659v1 |
2020-05-11 | Perspective on Metallic Antiferromagnets | Antiferromagnet materials have recently gained renewed interest due to their
possible use in spintronics technologies, where spin transport is the
foundation of their functionalities. In that respect metallic antiferromagnets
are of particular interest, since they enable complex interplays between
electronic charge tra... | 2005.05247v1 |
2020-07-09 | Enumerating alternating matrix spaces over finite fields with explicit coordinates | We initiate the study of enumerating linear subspaces of alternating matrices
over finite fields with explicit coordinates. We postulate that this study can
be viewed as a linear algebraic analogue of the classical topic of enumerating
labelled graphs. To support this viewpoint, we present q-analogues of Gilbert's
form... | 2007.05108v1 |
2020-08-06 | On Passivity, Feedback Passivity, And Feedback Passivity Over Erasure Network: A Piecewise Affine Approximation Approach | In this paper, we deal with the problem of passivity and feedback
passification of smooth discrete-time nonlinear systems by considering their
piecewise affine approximations. Sufficient conditions are derived for
passivity and feedback passivity. These results are then extended to systems
that operate over Gilbert-Ell... | 2008.02748v1 |
2020-08-20 | Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups | Building on previous results concerning hyperbolicity of groups of Fibonacci
type, we give an almost complete classification of the (non-elementary)
hyperbolic groups within this class. We are unable to determine the
hyperbolicity status of precisely two groups, namely the Gilbert-Howie groups
H(9,4), H(9,7). We show t... | 2008.08986v2 |
2020-10-13 | Mechanistic Modelling of Chromatin Folding to Understand Function | Experimental approaches have been applied to address questions in
understanding three-dimensional chromatin organisation and function. As
datasets increase in size and complexity, it becomes a challenge to reach a
mechanistic interpretation of experimental results. Polymer simulations and
mechanistic modelling have bee... | 2010.06413v1 |
2020-12-05 | Dual Regularized Optimal Transport | In this paper, we present a new formulation of unbalanced optimal transport
called Dual Regularized Optimal Transport (DROT). We argue that regularizing
the dual formulation of optimal transport results in a version of unbalanced
optimal transport that leads to sparse solutions and that gives us control over
mass creat... | 2012.03126v1 |
2020-12-20 | Achieving positive rates with predetermined dictionaries | In the first part of the paper we consider binary input channels that are not
necessarily stationary and show how positive rates can be achieved using codes
constrained to be within predetermined dictionaries. We use a
Gilbert-Varshamov-like argument to obtain the desired rate achieving codes.
Next we study the corresp... | 2012.10897v1 |
2020-12-25 | Colossal stability of antiferromagnetically exchange coupled nanomagnets | Bistable nanomagnets store a binary bit of information. Exchange coupled
nanomagnets can increase the thermal stability at low dimensions. Here we show
that the antiferromagnetically (AFM) coupled nanomagnets can be highly stable
at low dimensions than that of the ferromagnetically (FM) coupled nanomagnets.
By solving ... | 2012.13590v1 |
2021-03-08 | Cutoff for the Asymmetric Riffle Shuffle | In the Gilbert-Shannon-Reeds shuffle, a deck of $N$ cards is cut into two
approximately equal parts which are then riffled uniformly at random. Bayer and
Diaconis famously showed that this Markov chain undergoes cutoff in total
variation after $\frac{3\log(N)}{2 \log(2)}$ shuffles. We establish cutoff for
the more gene... | 2103.05068v3 |
2021-03-24 | Information Freshness Analysis of Slotted ALOHA in Gilbert-Elliot Channels | This letter analyzes a class of information freshness metrics for large IoT
systems in which terminals employ slotted ALOHA to access a common channel.
Considering a Gilbert- Elliot channel model, information freshness is evaluated
through a penalty function that follows a power law of the time elapsed since
the last r... | 2103.13346v2 |
2021-04-30 | Micromagnetic modeling of magnon coherent states in a nonuniform magnetic field | The study of the dynamics of magnetically ordered states in strong excitation
through micromagnetic modeling has become relevant due to the observation of
magnon Bose condensation. In particular, the question has arisen about the
possibility of describing the coherent quantum state by the quasi-classical
Landau-Lifshit... | 2104.14804v1 |
2021-07-07 | Superconducting Magnets | Superconductivity allows to construct and operate magnets at field values
beyond 2 Tesla, the practical limitation of normal-conducting magnets
exploiting ferro-magnetism. The field of superconducting magnets is dominated
by the field generated in the coil. The stored energy and the electromagnetic
forces generated by ... | 2107.03177v1 |
2021-08-14 | An Experimental-Design Perspective on Population Genetic Variation | We consider the hypothesis that Evolution promotes population-wide genome
patterns that, under randomization, ensures the External Validity of
adaptations across population members. An adaptation is Externally Valid (EV)
if its effect holds under a wide range of population genetic variations. A
prediction following the... | 2108.06580v1 |
2021-12-14 | Extending the team with a project-specific bot | While every other software team is adopting off-the-shelf bots to automate
everyday tasks, the Coq team has made a different choice by developing and
maintaining a project-specific bot from the ground up. In this article, we
describe the reasons for this choice, what kind of automation this has allowed
us to implement,... | 2112.07365v1 |
2021-12-29 | Multi-Adversarial Safety Analysis for Autonomous Vehicles | This work in progress considers reachability-based safety analysis in the
domain of autonomous driving in multi-agent systems. We formulate the safety
problem for a car following scenario as a differential game and study how
different modelling strategies yield very different behaviors regardless of the
validity of the... | 2112.14344v1 |
2022-01-26 | Analyzing Ta-Shma's Code via the Expander Mixing Lemma | Random walks in expander graphs and their various derandomizations (e.g.,
replacement/zigzag product) are invaluable tools from pseudorandomness.
Recently, Ta-Shma used s-wide replacement walks in his breakthrough
construction of a binary linear code almost matching the Gilbert-Varshamov
bound (STOC 2017). Ta-Shma's or... | 2201.11166v1 |
2022-02-15 | Further Collapses in TFNP | We show $\textsf{EOPL}=\textsf{PLS}\cap\textsf{PPAD}$. Here the class
$\textsf{EOPL}$ consists of all total search problems that reduce to the
End-of-Potential-Line problem, which was introduced in the works by Hubacek and
Yogev (SICOMP 2020) and Fearnley et al. (JCSS 2020). In particular, our result
yields a new simpl... | 2202.07761v2 |
2022-03-19 | A proposed test of quantum mechanics with three connected atomic clock transitions | We consider possible extensions to quantum mechanics proposed by Steven
Weinberg, and re-analyze his prediction of a new test based upon three atomic
clocks in the same atom. We propose realistic experimental systems where this
hypothesis can be tested. Two systems already set limits on deviations from
quantum mechanic... | 2203.10269v3 |
2022-06-14 | Generalized graph splines and the Universal Difference Property | We study the generalized graph splines introduced by Gilbert, Tymoczko, and
Viel and focus on an attribute known as the Universal Difference Property
(UDP). We prove that paths, trees, and cycles satisfy UDP. We explore UDP on
graphs pasted at a single vertex and use Pr\"ufer domains to illustrate that
not every edge l... | 2206.06981v2 |
2022-08-04 | Total stability and Auslander-Reiten theory for Dynkin quivers | This paper concerns stability functions for Dynkin quivers, in the generality
introduced by Rudakov. We show that relatively few inequalities need to be
satisfied for a stability function to be totally stable (i.e. to make every
indecomposable stable). Namely, a stability function $\mu$ is totally stable if
and only if... | 2208.02445v1 |
2022-09-09 | Magnetization dynamics and reversal of two-dimensional magnets | Micromagnetics simulation based on the classical Landau-Lifshitz-Gilbert
(LLG) equation has long been a powerful method for modeling magnetization
dynamics and reversal of three-dimensional (3D) magnets. For two-dimensional
(2D) magnets, the magnetization reversal always accompanies the collapse of the
magnetization ev... | 2209.04483v1 |
2022-11-06 | Two-Qutrit entanglement: 56-years old algorithm challenges machine learning | Classifying states as entangled or separable is a highly challenging task,
while it is also one of the foundations of quantum information processing
theory. This task is higly nontrivial even for relatively simple cases, such as
two-qutrit Bell-diagonal states, i.e., mixture of nine mutually orthogonal
maximally entang... | 2211.03213v1 |
2022-12-07 | Quantitative CLTs on the Poisson space via Skorohod estimates and $p$-Poincaré inequalities | We establish new explicit bounds on the Gaussian approximation of Poisson
functionals based on novel estimates of moments of Skorohod integrals.
Combining these with the Malliavin-Stein method, we derive bounds in the
Wasserstein and Kolmogorov distances whose application requires minimal moment
assumptions on add-one ... | 2212.03782v1 |
2022-12-19 | Bounds on Mixed Codes with Finite Alphabets | Mixed codes, which are error-correcting codes in the Cartesian product of
different-sized spaces, model degrading storage systems well. While such codes
have previously been studied for their algebraic properties (e.g., existence of
perfect codes) or in the case of unbounded alphabet sizes, we focus on the case
of fini... | 2212.09314v1 |
2023-02-17 | Codes Correcting Burst and Arbitrary Erasures for Reliable and Low-Latency Communication | Motivated by modern network communication applications which require low
latency, we study codes that correct erasures with low decoding delay. We
provide a simple explicit construction that yields convolutional codes that can
correct both burst and arbitrary erasures under a maximum decoding delay
constraint $T$. Our ... | 2302.08644v1 |
2023-03-10 | On the coherence of one-relator groups and their group algebras | We prove that one-relator groups are coherent, solving a well-known problem
of Gilbert Baumslag. Our proof strategy is readily applicable to many classes
of groups of cohomological dimension two. We show that fundamental groups of
two-complexes with non-positive immersions are homologically coherent, we show
that group... | 2303.05976v3 |
2023-03-15 | Algebraic Geometry codes in the sum-rank metric | We introduce the first geometric construction of codes in the sum-rank
metric, which we called linearized Algebraic Geometry codes, using quotients of
the ring of Ore polynomials with coefficients in the function field of an
algebraic curve. We study the parameters of these codes and give lower bounds
for their dimensi... | 2303.08903v2 |
2023-05-11 | Linear Codes with Prescribed Hull Dimension and Minimum Distance | The hull of a linear code (i.e., a finite field vector space)~\({\mathcal
C}\) is defined to be the vector space formed by the intersection
of~\({\mathcal C}\) with its dual~\({\mathcal C}^{\perp}.\) Constructing vector
spaces with a specified hull dimension has important applications and it is
therefore of interest to... | 2305.07140v1 |
2023-05-18 | Bounds on Size of Homopolymer Free Codes | For any given alphabet of size $q$, a Homopolymer Free code (HF code) refers
to an $(n, M, d)_q$ code of length $n$, size $M$ and minimum Hamming distance
$d$, where all the codewords are homopolymer free sequences. For any given
alphabet, this work provides upper and lower bounds on the maximum size of any
HF code usi... | 2305.10741v1 |
2023-05-31 | Codes from Goppa codes | On a Goppa code whose structure polynomial has coefficients in the symbol
field, the Frobenius acts. Its fixed codewords form a subcode. Deleting the
naturally occurred redundance, we obtain a new code. It is proved that these
new codes approach the Gilbert-Varshamov bound. It is also proved that these
codes can be dec... | 2305.19565v5 |
2023-06-08 | A Macroscopic Theory of Saturated Ferromagnetic Conductors | A phenomenological theory of rigid and saturated ferromagnetic conductors is
constructed from a four-continuum model consisting of a rigid lattice
continuum, a bound charge continuum for polarization, a circulating current
continuum for magnetization, and a free charge continuum for electrical
conduction. The basic law... | 2306.11525v1 |
2023-07-02 | Unveiling Stable One-dimensional Magnetic Solitons in Magnetic Bilayers | We propose a novel model which efficiently describes the magnetization
dynamics in a magnetic bilayer system. By applying a particular gauge
transformation to the Landau-Lifshitz-Gilbert (LLG) equation, we successfully
convert the model into an exactly integrable framework. Thus the obtained
analytical solutions allows... | 2307.00471v1 |
2023-07-21 | Thermomechanics of ferri-antiferromagnetic phase transition in finitely-strained rocks towards paleomagnetism | The thermodynamic model of visco-elastic deformable magnetic materials at
finite strains is formulated in a fully Eulerian way in rates with the aim to
describe thermoremanent paleomagnetism in crustal rocks. The Landau theory
applied to a ferro-to-para-magnetic phase transition, the gradient theory for
magnetization (... | 2307.11826v2 |
2023-09-22 | Characterizing Smooth Safety Filters via the Implicit Function Theorem | Optimization-based safety filters, such as control barrier function (CBF)
based quadratic programs (QPs), have demonstrated success in controlling
autonomous systems to achieve complex goals. These CBF-QPs can be shown to be
continuous, but are generally not smooth, let alone continuously
differentiable. In this paper,... | 2309.12614v1 |
2023-09-23 | Sphaleron rate from lattice QCD | We compute the sphaleron rate on the lattice from the inversion of the
Euclidean time correlators of the topological charge density, performing also
controlled continuum and zero-smoothing extrapolations. The correlator
inversion is performed by means of a recently-proposed modification of the
Backus-Gilbert method. | 2309.13327v1 |
2023-09-23 | CA-PCA: Manifold Dimension Estimation, Adapted for Curvature | The success of algorithms in the analysis of high-dimensional data is often
attributed to the manifold hypothesis, which supposes that this data lie on or
near a manifold of much lower dimension. It is often useful to determine or
estimate the dimension of this manifold before performing dimension reduction,
for instan... | 2309.13478v1 |
2023-11-13 | Dedukti: a Logical Framework based on the $λ$$Π$-Calculus Modulo Theory | Dedukti is a Logical Framework based on the $\lambda$$\Pi$-Calculus Modulo
Theory. We show that many theories can be expressed in Dedukti: constructive
and classical predicate logic, Simple type theory, programming languages, Pure
type systems, the Calculus of inductive constructions with universes, etc. and
that permi... | 2311.07185v1 |
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