98-717 Veronique MAUME-DESCHAMPS

Correlations decay for Markov maps on a countable states space. (305K, compressed postscript file) Nov 16, 98

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Abstract. We estimate the decay of correlations for some Markov maps on a countable states space. A necessary and sufficient condition is given for the transfer operator to be quasi-compact on the space of locally Lipschitz functions. In the non quasi-compact case, the decay of correlations depends on the contribution to the transfer operator of the complementary of finitely many cylinders. Estimates are given for some non uniformly expanding maps and for birth-and-death processes.

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