Formula of Entropy along Unstable Foliations for $C^1$ Diffeomorphisms with Dominated Splitting (1711.02851v1)

Published 8 Nov 2017 in math.DS

Abstract: Metric entropies along a hierarchy of unstable foliations are investigated for $C^1$ diffeomorphisms with dominated splitting. The analogues of Ruelle's inequality and Pesin's formula, which relate the metric entropy and Lyapunov exponents in each hierarchy, are given.

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