On Ergodicity Coefficients of Infinite Stochastic Matrices
Author(s) -
Adolf Rhodius
Publication year - 2000
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/986
Subject(s) - ergodicity , mathematics , statistical physics , mathematical analysis , pure mathematics , statistics , physics
A class of ergodicity coefficients for infinite stochastic matrices is introduced and investigated with respect to connections to the well-known δ-coefficient. The theory yields results on the behaviour of infinite products of stochastic matrices, in particular on inhomogeneous Markov chains and Markov systems.
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