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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...
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.
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...
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...
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...
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...

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