Entropy and Ergodic Measures for Toral Automorphisms

Details Entropy and Ergodic Measures for Toral Automorphisms Entropy and Ergodic Measures for Toral Automorphisms

2011-03-06

arxiv.org/abs/1103.1115v1

Mathematics

Dynamical Systems

Scientific paper

We show that for every linear toral automorphism, especially the
non-hyperbolic ones, the entropies of ergodic measures form a dense set on the
interval from zero to the topological entropy.

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