Entropy and Ergodic Measures for Toral Automorphisms
classification
🧮 math.DS
keywords
entropyergodicmeasurestoralautomorphismautomorphismsdenseentropies
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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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