共查询到20条相似文献,搜索用时 0 毫秒
1.
We study shift ergodicity, mixing, and related problems for invariant measures of interacting particle systems. The models we consider here include ferromagnetic stochastic Ising models, voter models, contact processes, exclusion processes, three-opinion noisy biased voter models, multi-opinion voter models, etc. Our results answer some questions for these models. One of the main techniques involved is a duality argument. 相似文献
2.
把Peuteman-Aeyels指数稳定性定理从确定性系统推广到随机系统.并借此讨论了随机混杂系统的均方指数镇定问题,得出了系统在同步切换下可镇定的充分必要条件. 相似文献
3.
本文首先给出了非自治随机动力系统的随机一致指数吸引子的概念及其存在性判据,其次证明了Rn上的带加法噪声和拟周期外力的FitzHugh-Nagumo系统的随机一致指数吸引子的存在性. 相似文献
4.
Yong-hua Mao 《Frontiers of Mathematics in China》2006,1(1):105-109
Coupling method is used to obtain the explicit upper and lower bounds for convergence rates in strong ergodicity for Markov
processes. For one-dimensional diffusion processes and birth-death processes, these bounds are sharp in the sense that the
upper one and the lower one are only different by a constant.
This announcement is an outline of an original research paper “Convergence Rates in Strong Ergodicity for Markov Processes”
that will appear in Stoch. Process. Their Appl. 相似文献
5.
在本文中,我们证明了广义Kolmogorov矩阵所对应的Markov链的强遍历性与指数遍历性,并且给出它的最大指数遍历常数的一个下界。 相似文献
6.
ABSTRACTThis contribution deals with the study of the almost sure exponential stability of large-scale stochastic systems with multiplicative noises. Under a Lipschitz-like assumption, it is proven that this stability is guaranteed if each “diagonal” subsystem is almost surely exponentially stable. 相似文献
7.
For an ergodic continuous-time Markov process with a particular state in its space,the authors provide the necessary and sufficient conditions for exponential and strong ergodicity in terms of the moments of the first hitting time on the state.An application to the queue length process of M/G/1 queue with multiple vacations is given. 相似文献
8.
9.
Rami Ahmad El-Nabulsi 《分析论及其应用》2014,(3):249-259
More recently, a variational approach has been proposed by Lin and Wang for damping motion with a Lagrangian holding the energy term dissipated by a friction force. However, the modified Euler-Lagrange equation obtained within their for- malism leads to an incorrect Newtonian equation of motion due to the nonlocality of the Lagrangian. In this communication, we generalize this approach based on the fractional actionlike variational approach and we show that under some simple restric- tions connected to the fractional parameters introduced in the fractional formalism, this problem may be solved. 相似文献
10.
Wei LIU 《Frontiers of Mathematics in China》2011,6(3):449-472
In this paper, we first show the uniqueness of invariant measures for the stochastic fast diffusion equation, which follows
from an obtained new decay estimate. Then we establish the Harnack inequality for the stochastic fast diffusion equation with
nonlinear perturbation in the drift and derive the heat kernel estimate and ultrabounded property for the associated transition
semigroup. Moreover, the exponential ergodicity and the existence of a spectral gap are also investigated. 相似文献
11.
马尔科夫过程的强遍历性和一致衰减性 总被引:1,自引:0,他引:1
本文证明了黎曼流形上的非爆炸正Harris常返扩散过程的强遍历性等价于某(任)一紧集击中时期望的一致有界性;而马尔科夫过程一致衰减当且仅当爆炸时的期望一致有界. 相似文献
12.
Zhi Wang & XianYun Du 《偏微分方程(英文版)》2015,28(1):47-73
In this paper, we consider the long time behaviors for the partly dissipative stochastic reaction diffusion equations. The existence of a bounded random absorbing set is firstly discussed for the systems and then an estimate on the solution is derived when the time is sufficiently large. Then, we establish the asymptotic compactness of the solution operator by giving uniform a priori estimates on the tails of solutions when time is large enough. In the last, we finish the proof of existence a pullback random attractor in L²(R^n) × L²(R^n). We also prove the upper semicontinuity of random attractors when the intensity of noise approaches zero. The long time behaviors are discussed to explain the corresponding physical phenomenon. 相似文献
13.
一类带随机延滞的时间序列模型的遍历性 总被引:1,自引:0,他引:1
本利用马氏化方法和一般状态空间马氏链的基本理论研究了一类带随机延滞的时间序列模型的遍历性,得到了该模型伴随几何遍历的一个判别准则. 相似文献
14.
对于给定紧光滑黎曼流形M上的一个C~2保体积部分双曲微分同胚f,若对所有不变测度的中心方向的指数都满足中心指数约束条件,则f本质可达蕴含遍历.特别地,若对所有不变测度,中心方向指数都为零,则f本质可达蕴含遍历.这一结果部分回答了Pesin提出的两个公开问题. 相似文献
15.
Pierre De La Harpe 《Geometriae Dedicata》2002,95(1):1-17
This is an exposition of examples and classes of finitely-generated groups which have uniform exponential growth. The main examples are non-Abelian free groups, semi-direct products of free Abelian groups with automorphisms having an eigenvalue of modulus distinct from 1, and Golod–Shafarevich infinite finitely-generated p-groups. The classes include groups which virtually have non-Abelian free quotients, nonelementary hyperbolic groups, appropriate free products with amalgamation, HNN-extensions and one-relator groups, as well as soluble groups of exponential growth. Several open problems are formulated. 相似文献
16.
Sergio Albeverio Alexei Daletskii Yuri Kondratiev Michael Röckner 《Acta Appl Math》2000,63(1-3):27-40
Stochastic dynamics associated with Gibbs measures on MZd, where M is a compact Riemannian manifold and Zd is an integer lattice, is considered. Equivalence of its L2-ergodicity and the extremality of the corresponding Gibbs measure is proved. 相似文献
17.
18.
Roman S. Gigoń 《代数通讯》2017,45(7):3045-3051
We show that an exponential epigroup is a band of unipotent exponential epigroups (in which the set of idempotents forms a subsemigroup). Also, we investigate the structure of unipotent exponential epigroups. In addition, a characterization of the least normal band of groups congruence is given for an arbitrary medial epigroup. It is also shown that k-exponential eventually regular semigroups are necessarily epigroups. 相似文献
19.
It is shown that transition measures of the stochastic Navier-Stokes equation in 2D converge exponentially fast to the corresponding invariant measures in the distance of total variation. As a corollary we obtain the existence of spectral gap for a related semigroup obtained by a sort of ground state transformation. Analogous results are proved for the stochastic Burgers equation. 相似文献