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2005 Some Notes on Topological Recurrence
Niclas Carlsson
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Electron. Commun. Probab. 10: 82-93 (2005). DOI: 10.1214/ECP.v10-1137


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.


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Niclas Carlsson. "Some Notes on Topological Recurrence." Electron. Commun. Probab. 10 82 - 93, 2005.


Accepted: 9 June 2005; Published: 2005
First available in Project Euclid: 4 June 2016

zbMATH: 1108.37008
MathSciNet: MR2150697
Digital Object Identifier: 10.1214/ECP.v10-1137

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