The pianigiani-yorke measure for topological markov chains

6533b82afe1ef96bd128cb22

RESEARCH PRODUCT

The pianigiani-yorke measure for topological markov chains

Servet Martínez Bernard Schmitt Pierre Collet

subject

Discrete mathematics Mathematics::Dynamical Systems Markov chain mixing time Markov chain General Mathematics Markov process Partition function (mathematics)Topology Harris chain Nonlinear Sciences::Chaotic Dynamics symbols.namesake Balance equation symbols Examples of Markov chains Gibbs measure Mathematics

description

We prove the existence of a Pianigiani-Yorke measure for a Markovian factor of a topological Markov chain. This measure induces a Gibbs measure in the limit set. The proof uses the contraction properties of the Ruelle-Perron-Frobenius operator.

year	journal	country	edition	language
1997-12-01	Israel Journal of Mathematics

https://doi.org/10.1007/bf02774026

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