Long Time Results for a Weakly Interacting Particle System in Discrete Time

Budhiraja Amarjit; Majumder Abhishek Pal

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Long Time Results for a Weakly Interacting Particle System in Discrete Time

机译：离散时间中弱相互作用粒子系统的长时间结果

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摘要

We study long time behavior of a discrete time weakly interacting particle system, and the corresponding nonlinear Markov process in

机译：我们研究了离散时间弱相互作用粒子系统的长时间行为以及相应的非线性马尔可夫过程

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《Stochastic Analysis and Applications》 |2015年第3期|共35页
作者
Budhiraja Amarjit; Majumder Abhishek Pal;
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正文语种 eng
中图分类概率论与数理统计;概率论（几率论、或然率论）;
关键词
Propagation of chaos; Transportation inequalities; Nonlinear Markov chains; Uniform concentration estimates.; Metric entropy; Exponential concentration estimates; Wasserstein distance; Long time behavior; Stochastic difference equations; McKean-Vlasov equations; Weakly interacting particle system;

机译：混沌传播;运输不等式;非线性马尔可夫链;一致的浓度估计;度量熵;指数浓度估计;Wasserstein距离;长时间行为;随机差分方程;McKean-Vlasov方程;弱相互作用粒子系统;

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专利

1. Long Time Results for a Weakly Interacting Particle System in Discrete Time [J] . Budhiraja Amarjit, Majumder Abhishek Pal Stochastic Analysis and Applications . 2015,第3期

机译：离散时间中弱相互作用粒子系统的长时间结果
2. Convergence to equilibrium in a class of interacting particle systems evolving in discrete time - art. no. 016117 [J] . Fuks H., Boccara N. Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics . 2001,第1aPta2期

机译：在离散时间演化的一类相互作用的粒子系统中，收敛到平衡。没有。 016117
3. Application of entropy analysis to discrete-time interacting particle systems on the one-dimensional lattice [J] . Hirotake YAGUCHI Hiroshima mathematical journal . 2000,第1期

机译：熵分析在一维晶格离散时间相互作用粒子系统中的应用
4. COMPUTATION OF CLOSED, CONTROLLABLE, AND WEAKLY OBSERVABLE SUBLANGUAGES FOR TIMED DISCRETE EVENT SYSTEMS [C] . Shigemasa Takai, Toshimitsu Ushio IFAC (International Federation of Automatic Control) World Congress . 2005

机译：定时离散事件系统的闭合，可控制和弱可观察子语言的计算
5. Long time asymptotics of some weakly interacting particle systems and higher order asymptotics of generalized fiducial distribution. [D] . Pal Majumder, Abhishek. 2015

机译：一些弱相互作用的粒子系统的长时间渐近性和广义基准分布的高阶渐近性。
6. Time StepRescaling Recovers Continuous-Time DynamicalProperties for Discrete-Time Langevin Integration of NonequilibriumSystems [O] . David A. Sivak, *, §, -1

机译：时间步长重新缩放可恢复连续时间动态非平衡离散兰格文积分的性质系统篇
7. 4 Long Time Results for a Weakly Interacting Particle System in Discrete Time. [O] . Amarjit Budhiraja, Abhishek Pal Majumder 2014

机译：4离散时间弱相互作用粒子系统的长时间结果。

Long Time Results for a Weakly Interacting Particle System in Discrete Time

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