publicationDate stringlengths 1 2.79k | title stringlengths 1 36.5k ⌀ | abstract stringlengths 1 37.3k ⌀ | id stringlengths 9 47 |
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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1997-11-20 | Quantum self-dual codes and symmetric matrices | This paper has been withdrawn since a Gilbert-Varshamov bound for general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 |
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 |
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 |
2014-06-10 | 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 |
2014-12-11 | 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 |
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 |
2022-12-30 | 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 |
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 |
2003-08-25 | Detection of molecular hydrogen at z=1.15 toward HE 0515-4414 | A new molecular hydrogen cloud is found in the sub-damped Ly-alpha absorber
[log N(HI)=19.88+/-0.05] at the redshift z=1.15 toward the bright quasar
HE0515-4414 (zem = 1.71). More than 30 absorption features in the Lyman band
system of H2 are identified in the UV spectrum of this quasar obtained with the
Space Telescop... | 0308432v1 |
2004-10-04 | Dissipative dynamics of topological defects in frustrated Heisenberg spin systems | We study the dynamics of topological defects of a frustrated spin system
displaying spiral order. As a starting point we consider the SO(3) nonlinear
sigma model to describe long-wavelength fluctuations around the noncollinear
spiral state. Besides the usual spin-wave magnetic excitations, the model
allows for topologi... | 0410082v3 |
2010-09-14 | Modeling laser wakefield accelerators in a Lorentz boosted frame | Modeling of laser-plasma wakefield accelerators in an optimal frame of
reference \cite{VayPRL07} is shown to produce orders of magnitude speed-up of
calculations from first principles. Obtaining these speedups requires
mitigation of a high-frequency instability that otherwise limits effectiveness
in addition to solutio... | 1009.2727v2 |
2013-03-07 | The coupling between internal waves and shear-induced turbulence in stellar radiation zones: the critical layer | Internal gravity waves (hereafter IGWs) are known as one of the candidates
for explaining the angular velocity profile in the Sun and in solar-type
main-sequence and evolved stars, due to their role in the transport of angular
momentum. Our bringing concerns critical layers, a process poorly explored in
stellar physics... | 1303.1715v1 |
2014-05-01 | Energy Loss of Solar $p$ Modes due to the excitation of Magnetic Sausage Tube Waves: Importance of Coupling the Upper Atmosphere | We consider damping and absorption of solar $p$ modes due to their energy
loss to magnetic tube waves that can freely carry energy out of the acoustic
cavity. The coupling of $p$ modes and sausage tube waves is studied in a model
atmosphere composed of a polytropic interior above which lies an isothermal
upper atmosphe... | 1405.0130v2 |
2015-09-01 | Excitation of surface and volume plasmons in metal nanocluster by fast electrons | Surface and volume plasmons excited in a metal cluster by moving electron and
corresponding inelastic scattering spectra are studied based on the
hydrodynamic approach. Along with the bulk losses traditionally taken into
account, the surface and radiative ones are also considered as the physical
mechanisms responsible ... | 1509.00405v2 |
2016-01-29 | New class of quantum error-correcting codes for a bosonic mode | We construct a new class of quantum error-correcting codes for a bosonic mode
which are advantageous for applications in quantum memories, communication, and
scalable computation. These 'binomial quantum codes' are formed from a finite
superposition of Fock states weighted with binomial coefficients. The binomial
codes... | 1602.00008v3 |
2016-05-31 | Constraint on a cosmological variation in the proton-to-electron mass ratio from electronic CO absorption | Carbon monoxide (CO) absorption in the sub-damped Lyman-$\alpha$ absorber at
redshift $z_{abs} \simeq 2.69$, toward the background quasar SDSS
J123714.60+064759.5 (J1237+0647), was investigated for the first time in order
to search for a possible variation of the proton-to-electron mass ratio, $\mu$,
over a cosmologica... | 1605.09742v1 |
2017-11-01 | Entanglement entropy of a three-spin interacting spin chain with a time-reversal breaking impurity at one boundary | We investigate the effect of a time-reversal breaking impurity term on both
the equilibrium and non-equilibrium critical properties of entanglement entropy
(EE) in a three-spin interacting transverse Ising model which can be mapped to
a one-dimensional p-wave superconductor with next-nearest-neighbor hopping. Due
to th... | 1711.01164v2 |
2018-01-23 | Predicting Quasar Continua Near Lyman-$α$ with Principal Component Analysis | Measuring the proximity effect and the damping wing of intergalactic neutral
hydrogen in quasar spectra during the epoch of reionization requires an
estimate of the intrinsic continuum at rest-frame wavelengths $\lambda_{\rm
rest}\sim1200$-$1260$ {\AA}. In contrast to previous works which used composite
spectra with ma... | 1801.07679v1 |
2018-05-23 | Quantifying the validity and breakdown of the overdamped approximation in stochastic thermodynamics: Theory and experiment | Stochastic thermodynamics provides an important framework to explore small
physical systems where thermal fluctuations are inevitable. In the studies of
stochastic thermodynamics, some thermodynamic quantities, such as the
trajectory work, associated with the complete Langevin equation (the Kramers
equation) are often ... | 1805.09080v3 |
2018-09-05 | Experiments on wave propagation in grease ice: combined wave gauges and PIV measurements | Water wave attenuation by grease ice is a key mechanism for the polar
regions, as waves in ice influence many phenomena such as ice drift, ice
breaking, and ice formation. However, the models presented so far in the
literature are limited in a number of regards, and more insights are required
from either laboratory exp... | 1809.01476v2 |
2022-02-08 | Evolution of energy, momentum, and spin parameter in dark matter flow and integral constants of motion | N-body equations of motion in comoving system and expanding background are
reformulated in a transformed system with static background and fixed damping.
The energy and momentum evolution in dark matter flow are rigorously formulated
for both systems. The energy evolution in transformed system has a simple form
that is... | 2202.04054v2 |
2022-09-10 | Self-Consistent Computation of Spin Torques and Magneto-Resistance in Tunnel Junctions and Magnetic Read-Heads with Metallic Pinhole Defects | A three-dimensional self-consistent spin transport model is developed, which
includes both tunnelling transport, as well as metallic transport. Using the
spin accumulation computed either side of a tunnel barrier, spin torques are
obtained, and it is shown the model reproduces both damping-like and field-like
spin-tran... | 2209.04613v1 |
2023-06-23 | Nonlinear asymptotic stability and transition threshold for 2D Taylor-Couette flows in Sobolev spaces | In this paper, we investigate the stability of the 2-dimensional (2D)
Taylor-Couette (TC) flow for the incompressible Navier-Stokes equations. The
explicit form of velocity for 2D TC flow is given by $u=(Ar+\frac{B}{r})(-\sin
\theta, \cos \theta)^T$ with $(r, \theta)\in [1, R]\times \mathbb{S}^1$ being
an annulus and $... | 2306.13562v1 |
2023-12-18 | Size dependent optical response in coupled systems of plasmons and electron-hole pairs in metallic nanostructures | In bulk materials, the collective modes and individual modes are orthogonal
each other, and no connection occurs if there is no damping processes. In the
presence of damping, the collective modes, i.e., plasmons decay into the hot
carriers. In finite systems, the collective and individual modes are coupled by
the Coulo... | 2312.10867v2 |
2024-03-04 | Cosmic-ray diffusion in two local filamentary clouds | A fairly uniform cosmic-ray (CR) distribution is observed near the Sun,
except in the nearby Eridu cloud, which shows an unexplained 30-50% deficit in
GeV to TeV CR flux. To explore the origin of this deficit, we studied the
Reticulum cloud, which shares notable traits with Eridu: a comparable distance
in the low-densi... | 2403.02466v1 |
1999-04-20 | Experimentally Derived Dielectronic Recombination Rate Coefficients for Heliumlike C V and Hydrogenic O VIII | Using published measurements of dielectronic recombination (DR) resonance
strengths and energies for C V to C IV and O VIII to O VII, we have calculated
the DR rate coefficient for these ions. Our derived rates are in good agreement
with multiconfiguration, intermediate-coupling and multiconfiguration,
fully-relativist... | 9904258v1 |
2016-10-12 | Optical Properties Of Nanometer-Scale Structures | Two approaches (micro- and macro- investigations) are used to determine the
dimension dependences of the optical parameters of the nanometer-scale layers
of materials. It is shown that both an index of refraction and coefficient of
absorption depend strongly on the thickness of the layer. In this region of
thicknesses,... | 1610.03775v1 |
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 |
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