Rigidity of measures on the torus: smooth stabilizers and entropy
Dynamical Systems
2010-12-03 v3
Abstract
For a nonlinear Anosov diffeomorphism of the 2-torus, we present examples of measures so that the group of -preserving diffeomorphisms is, up to zero-entropy transformations, cyclic. For families of equilibrium states , we strengthen this to show that the group of -preserving diffeomorphism is virtually cyclic.
Keywords
Cite
@article{arxiv.1008.3197,
title = {Rigidity of measures on the torus: smooth stabilizers and entropy},
author = {Aaron W. Brown},
journal= {arXiv preprint arXiv:1008.3197},
year = {2010}
}
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