TY - JOUR
T1 - The pressure and higher correlations for an Anosov diffeomorphism
AU - Kotani, Motoko
AU - Sunada, Toshikazu
PY - 2001/6/1
Y1 - 2001/6/1
N2 - 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.
AB - 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.
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U2 - 10.1017/S0143385701001407
DO - 10.1017/S0143385701001407
M3 - Article
AN - SCOPUS:0035615196
VL - 21
SP - 807
EP - 821
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
SN - 0143-3857
IS - 3
ER -