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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Ergodicity of non-stationary stochastic processes
非平稳 随机过程 遍历性
2023/4/13
I will discuss the ergodicity of two kinds of non-stationary processes: random periodic processes and random quasi-periodic processes. I will describe periodic measures, quasi-periodic measures and th...
Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations
Unique Ergodicity Fractionally Dissipated Stochastically Forced 2D Euler Equations
2014/4/3
We establish the existence and uniqueness of an ergodic invariant measure for 2D fractionally dissipated stochastic Euler equations on the periodic box, for any power of the dissipation term.
Ergodicity of Poisson products and applications
Ergodicity Poisson products Dynamical Systems
2011/8/24
Abstract: For every $\sigma$-finite measure-preserving transformation $T$ acting on a space $X$ there is an associated probability preserving transformation $T_*$ which acts on discrete countable subs...
Ergodicity of Markov Semigroups with Hörmander type generators in Infinite Dimensions
Ergodicity of Markov Semigroups Hö rmander type generators Infinite Dimensions
2011/1/17
We develop an effective strategy for proving strong ergodicity of (nonsymmetric)Markov semigroups associated to H¨ormander type generators when the underlying configuration space is infinite dimension...
On Approximations and Ergodicity Classes in Random Chains
Approximations Ergodicity Classes Random Chains
2010/11/30
We study the limiting behavior of a random dynamic system driven by a stochastic chain. Our main interest is in the chains that are not necessarily er godic but rather decomposable into ergodic classe...
Ergodicity of Quasi-birth and death processes (I)
ergodicity quasi-birth and death process Markov chain matrix geometric solutions
2007/12/11
Quasi-birth and death processes with block tridiagonal matrices find many applications in various areas. Neuts gave the necessary and sufficient conditions for the ordinary ergodicity and found an exp...