English

Entropy and Ergodic Measures for Toral Automorphisms

Dynamical Systems 2011-03-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1103.1115,
  title  = {Entropy and Ergodic Measures for Toral Automorphisms},
  author = {Peng Sun},
  journal= {arXiv preprint arXiv:1103.1115},
  year   = {2011}
}
R2 v1 2026-06-21T17:35:42.085Z