We consider a discrete-time ergodic Markov chain on a partially ordered state space and study the stochastic comparison between its invariant measure and some measures related with the behaviour of the chain conditioned to avoid a decreasing subset of the state space. We also study the situation when several decreasing sets are avoided
This thesis deals with Markov operators and semigroups. A Markov operator is a positive linear opera...
In this paper we integrate two strands of the literature on stability of general state Markov chains...
The study deals with products of independent uniformly distributed matrices of the second order. The...
We consider a discrete-time ergodic Markov chain on a partially ordered state space and study the st...
International audienceThis book concerns discrete-time homogeneous Markov chains that admit an invar...
We study the absolute continuity of ergodic measures of Markov chains $X_{n+1}=F(X_n,Y_{n+1})$ for t...
We study various partially ordered spaces of probability measures and we determine which of them are...
International audienceWe study various partially ordered spaces of probability measures and we deter...
We study the property of dependence in lag for Markov chains on countable partially ordered state sp...
The following modification of a general state space discrete-time Markov chain is considered: certai...
We prove a game-theoretic version of the strong law of large numbers for submartingale differences, ...
In this paper we connect various topological and probabilistic forms of stability for discrete-time ...
AbstractWe consider various characterizations of ergodic measures on the shift space (Ω, T), where Ω...
AbstractLet {Xn} be a ∅-irreducible Markov chain on an arbitrary space. Sufficient conditions are gi...
It is known that the Dobrushin’s ergodicity coefficient is one of the effective tools to study the b...
This thesis deals with Markov operators and semigroups. A Markov operator is a positive linear opera...
In this paper we integrate two strands of the literature on stability of general state Markov chains...
The study deals with products of independent uniformly distributed matrices of the second order. The...
We consider a discrete-time ergodic Markov chain on a partially ordered state space and study the st...
International audienceThis book concerns discrete-time homogeneous Markov chains that admit an invar...
We study the absolute continuity of ergodic measures of Markov chains $X_{n+1}=F(X_n,Y_{n+1})$ for t...
We study various partially ordered spaces of probability measures and we determine which of them are...
International audienceWe study various partially ordered spaces of probability measures and we deter...
We study the property of dependence in lag for Markov chains on countable partially ordered state sp...
The following modification of a general state space discrete-time Markov chain is considered: certai...
We prove a game-theoretic version of the strong law of large numbers for submartingale differences, ...
In this paper we connect various topological and probabilistic forms of stability for discrete-time ...
AbstractWe consider various characterizations of ergodic measures on the shift space (Ω, T), where Ω...
AbstractLet {Xn} be a ∅-irreducible Markov chain on an arbitrary space. Sufficient conditions are gi...
It is known that the Dobrushin’s ergodicity coefficient is one of the effective tools to study the b...
This thesis deals with Markov operators and semigroups. A Markov operator is a positive linear opera...
In this paper we integrate two strands of the literature on stability of general state Markov chains...
The study deals with products of independent uniformly distributed matrices of the second order. The...