The pressure and higher correlations for an Anosov diffeomorphism

Motoko Kotani; Toshikazu Sunada

doi:10.1017/S0143385701001407

The pressure and higher correlations for an Anosov diffeomorphism

Motoko Kotani, Toshikazu Sunada

Advanced Institute for Materials Research (AIMR)

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	807-821
Number of pages	15
Journal	Ergodic Theory and Dynamical Systems
Volume	21
Issue number	3
DOIs	https://doi.org/10.1017/S0143385701001407
Publication status	Published - 2001 Jun 1

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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