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The pianigiani-yorke measure for topological markov chains

1997

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.

Discrete mathematicsMathematics::Dynamical SystemsMarkov chain mixing timeMarkov chainGeneral MathematicsMarkov processPartition function (mathematics)TopologyHarris chainNonlinear Sciences::Chaotic Dynamicssymbols.namesakeBalance equationsymbolsExamples of Markov chainsGibbs measureMathematicsIsrael Journal of Mathematics
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