Add to ORKGtypes We review the concept of topological recurrence for weak Feller Markov chains on compact state spaces and explore the implications of this concept for the ergodicity of the processes. We also prove some conditions for existence and uniqueness of invariant measures of certain types. Examples are given from the class of iterated function systems on the real line.
In this paper we extend the results of Meyn and Tweedie (1992b) from discrete-time parameter to cont...
We consider a mutually disjoint family of measure preserving transformations T1, …, Tk on a probabil...
AbstractA Finite Probabilistic Table, or FPT, consists of a finite state space S, an initial distrib...
Let (Xn, n ≥ 0) be a random dynamical system and its state space be endowed with a reasonable topolo...
AbstractLet {Xn} be a ∅-irreducible Markov chain on an arbitrary space. Sufficient conditions are gi...
textabstractThis paper studies two properties of the set of Markov chains induced by the determinist...
For homogeneous Markov chains in a compact and locally compact spaces, the ergodic properties are in...
International audienceRecurrence properties of systems and associated sets of integers that suffice ...
In this paper we consider a Markov chain defined on a locally compact separable metric space which s...
We consider topological Markov chains (also called Markov shifts) on countable graphs. We show that ...
We consider Markov chains in the context of iterated random functions and show the existence and uni...
Let {Xn; n ≥ 0} be a Harris-recurrent Markov chain on a general state space. It is shown that ...
condition, excursion Let X = (Xt)t≥0 be a self-similar Markov process with values in [0,∞[, such tha...
Motivated by multivariate random recurrence equations we prove a new analogue of the Key Renewal The...
Processes sharing the same bridges are said to belong to the same reciprocal class. In this article ...
In this paper we extend the results of Meyn and Tweedie (1992b) from discrete-time parameter to cont...
We consider a mutually disjoint family of measure preserving transformations T1, …, Tk on a probabil...
AbstractA Finite Probabilistic Table, or FPT, consists of a finite state space S, an initial distrib...
Let (Xn, n ≥ 0) be a random dynamical system and its state space be endowed with a reasonable topolo...
AbstractLet {Xn} be a ∅-irreducible Markov chain on an arbitrary space. Sufficient conditions are gi...
textabstractThis paper studies two properties of the set of Markov chains induced by the determinist...
For homogeneous Markov chains in a compact and locally compact spaces, the ergodic properties are in...
International audienceRecurrence properties of systems and associated sets of integers that suffice ...
In this paper we consider a Markov chain defined on a locally compact separable metric space which s...
We consider topological Markov chains (also called Markov shifts) on countable graphs. We show that ...
We consider Markov chains in the context of iterated random functions and show the existence and uni...
Let {Xn; n ≥ 0} be a Harris-recurrent Markov chain on a general state space. It is shown that ...
condition, excursion Let X = (Xt)t≥0 be a self-similar Markov process with values in [0,∞[, such tha...
Motivated by multivariate random recurrence equations we prove a new analogue of the Key Renewal The...
Processes sharing the same bridges are said to belong to the same reciprocal class. In this article ...
In this paper we extend the results of Meyn and Tweedie (1992b) from discrete-time parameter to cont...
We consider a mutually disjoint family of measure preserving transformations T1, …, Tk on a probabil...
AbstractA Finite Probabilistic Table, or FPT, consists of a finite state space S, an initial distrib...