Decay of correlations for maximal measure of maps derived from Anosov
FOS: Mathematics
Dynamical Systems (math.DS)
Mathematics - Dynamical Systems
0101 mathematics
01 natural sciences
DOI:
10.48550/arxiv.1610.00796
Publication Date:
2016-01-01
AUTHORS (2)
ABSTRACT
It was proven by Ures that $C^1$ diffeomorphism on three dimensional torus that is derived from Anosov admits a unique maximal measure. Here we show that the maximal measure has exponential decay of correlations for H��lder observables, assuming the middle eigenvalue of the linear Anosov model is contracting.
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