Correlations Decay for Markov Maps on a Countable States Space
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چکیده
We estimate the decay of correlations for some Markov maps on a countable states space. A necessary and suucient 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 nitely many cylinders. Estimates are given for some non uniformly expanding maps and for birth-and-death processes.
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