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Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov
Published online by Cambridge University Press: 27 February 2023
Abstract
We construct measures of maximal u-entropy for any partially hyperbolic diffeomorphism that factors over an Anosov torus automorphism and has mostly contracting center direction. The space of such measures has finite dimension, and its extreme points are ergodic measures with pairwise disjoint supports.
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