The pressure and higher correlations for an Anosov diffeomorphism

Motoko Kotani, Toshikazu Sunada

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


For a topologically mixing Anosov diffeomorphism on a compact manifold, the correlation function for two smooth functions is known to have exponential decay. As a generalization, higher correlation functions for several smooth functions are defined, and are shown to have exponential decay in the time variables. It is also proved that the higher derivatives of the pressure are equal to the summations of the higher correlations over the time variables.

Original languageEnglish
Pages (from-to)807-821
Number of pages15
JournalErgodic Theory and Dynamical Systems
Issue number3
Publication statusPublished - 2001 Jun


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