In this book invariant probabilities for a large class of discrete-time homogeneous Markov processes known as Feller processes are discussed. These Feller processes appear in the study of iterated function systems with probabilities, convolution operators, certain time series, etc. Rather than dealing with the processes, the transition probabilities and the operators associated with these processes are studied. Special efforts are made to attract newcomers to the theory of Markov processes in general, and to the topics covered, in particular. Most of the results are new and deal with topics of intense research interest.

Klappentext

This book covers invariant probabilities for a large class of discrete-time homogeneous Markov processes known as Feller processes. These Feller processes appear in the study of iterated function systems with probabilities, convolution operators, and certain time series.

From the reviews:

"A very useful reference for researchers wishing to enter the area of stationary Markov processes both from a probabilistic and a dynamical point of view." --MONATSHEFTE FÜR MATHEMATIK

Inhalt
Introduction.- 1. Preliminaries on Markov-Feller Operators.- 2. The KBBY Decomposition.- 3. Unique Ergodicity.- 4. Equicontinuity.- Bibliography.- Index