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The article addresses the convergence of implicit and semi-implicit, fully discrete approximations of a class of nonlinear parabolic evolution problems. Such schemes are popular in the numerical solution of evolutions defined with the…

数值分析 · 数学 2019-02-22 Sören Bartels , Michael Růžička

The Parareal algorithm allows to solve evolution problems exploiting parallelization in time. Its convergence and stability have been proved under the assumption of regular (smooth) inputs. We present and analyze here a new Parareal…

Asymmetric exclusion processes with locally reversible kinetic constraints are introduced to investigate the effect of non-conservative driving forces in athermal systems. At high density they generally exhibit rheological-like behavior,…

统计力学 · 物理学 2008-07-25 Mauro Sellitto

We conjecture an exact expression for the large deviation function of the stationary state current in the partially asymmetric exclusion process with periodic boundary conditions. This expression is checked for small systems using…

统计力学 · 物理学 2009-07-31 Sylvain Prolhac

In this paper, we develop a new framework for constructing infeasible-start primal-dual methods for Conic Optimization. Our approach can be seen as a straightforward consequence of Gordan Theorem of Alternative. Given by the target upper…

最优化与控制 · 数学 2026-03-27 Yurii Nesterov

We are concerned with a class of second order quasilinear elliptic equations driven by a nonhomogeneous differential operator introduced by C.A. Stuart and whose study is motivated by models in Nonlinear Optics. We establish sufficient…

偏微分方程分析 · 数学 2022-01-04 Louis Jeanjean , Vicentiu D. Radulescu

We report here our preliminary results in the study of a new version of the generalized Totally Asymmetric Simple Exclusion process (gTASEP) on open tracks. In the gTASEP an additional interaction between the particles is considered,…

统计力学 · 物理学 2022-12-06 A. M. Povolotsky , N. C. Pesheva , N. Zh. Bunzarova

We consider the task of motion control for non-prehensile manipulation using parallel kinematics mechatronic setup, in particular, stabilization of a ball on a plate under unmeasured external harmonic disturbances. System parameters are…

系统与控制 · 电气工程与系统科学 2020-05-19 Dmitrii Dobriborsci , Sergey Kolyubin , Alexey Bobtsov

Spontaneous symmetry breaking is a fundamental notion in modern physics, ranging from high energy to condensed matter. However, the usual spontaneous symmetry breaking only considers the equal probability to select the vacua. In this work,…

高能物理 - 理论 · 物理学 2024-05-28 Tian-Chi Ma , Han-Qing Shi , Hai-Qing Zhang

We give in this paper a convergence result concerning parallel asynchronous algorithm with bounded delays to solve a nonlinear fixed point problems. This result is applied to calculate the solution of a strongly monotone operator. Special…

数值分析 · 数学 2007-05-23 Abdenasser Benahmed

We study the asymmetric simple exclusion process with non-diagonal boundary terms under a specific constraint. A symmetric chiral basis is constructed and a special string solution of the Bethe ansatz equations corresponding to the steady…

数学物理 · 物理学 2024-12-31 Xin Zhang , Fa-Kai Wen

State space models contain time-indexed parameters, termed states, as well as static parameters, simply termed parameters. The problem of inferring both static parameters as well as states simultaneously, based on time-indexed observations,…

统计计算 · 统计学 2021-05-28 Anthony Ebert , Pierre Pudlo , Kerrie Mengersen , Paul Wu , Christopher Drovandi

Model comparison for the purposes of selection, averaging and validation is a problem found throughout statistics. Within the Bayesian paradigm, these problems all require the calculation of the posterior probabilities of models within a…

统计方法学 · 统计学 2015-06-08 Yan Zhou , Adam M Johansen , John A D Aston

We study the one dimensional partially asymmetric simple exclusion process (ASEP) with open boundaries, that describes a system of hard-core particles hopping stochastically on a chain coupled to reservoirs at both ends. Derrida, Evans,…

统计力学 · 物理学 2009-10-30 Kirone Mallick , Sven Sandow

We consider a multi-species generalization of the Asymmetric Simple Exclusion Process on an open chain, in which particles hop with their characteristic hopping rates and fast particles can overtake slow ones. The number of species is…

统计力学 · 物理学 2012-07-27 M. Khorrami , V. Karimipour

A central approach to algorithmic derandomization is to construct probability distributions with small support that "fool" randomized algorithms, often enabling efficient parallel (NC) implementations. An abstraction of this idea is fooling…

数据结构与算法 · 计算机科学 2026-01-27 Jeff Giliberti , David G. Harris

We present a spectral study of the evolution matrix of the totally asymmetric exclusion process on a ring at half filling. The natural symmetries (translation, charge conjugation combined with reflection) predict only two fold degeneracies.…

统计力学 · 物理学 2009-11-10 O. Golinelli , K. Mallick

The misanthrope process is a class of stochastic interacting particle systems, generalizing the simple exclusion process. It allows each site of the lattice to accommodate more than one particle. We consider a special case of the one…

元胞自动机与格子气 · 物理学 2016-07-29 Chikashi Arita , Chihiro Matsui

We establish an invariance principle for a one-dimensional random walk in a dynamical random environment given by a speed-change exclusion process. The jump probabilities of the walk depend on the configuration of the exclusion in a finite…

概率论 · 数学 2018-07-17 Milton Jara , Otávio Menezes

When we focus on finite dynamical systems from both the computability/complexity and the modelling standpoints, automata networks seem to be a particularly appropriate mathematical model on which theory shall be developed. In this paper,…

离散数学 · 计算机科学 2023-04-20 Kévin Perrot , Sylvain Sené , Léah Tapin
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