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- W2976193444 abstract "We consider a smooth area-preserving Anosov diffeomorphism $fcolon mathbb T^2rightarrow mathbb T^2$ homotopic to an Anosov automorphism $L$ of $mathbb T^2$. It is known that the positive Lyapunov exponent of $f$ with respect to the normalized Lebesgue measure is less than or equal to the topological entropy of $L$, which, in addition, is less than or equal to the Lyapunov exponent of $f$ with respect to the probability measure of maximal entropy. Moreover, the equalities only occur simultaneously. We show that these are the only restrictions on these two dynamical invariants." @default.
- W2976193444 created "2019-10-03" @default.
- W2976193444 creator A5037307522 @default.
- W2976193444 date "2019-09-25" @default.
- W2976193444 modified "2023-09-27" @default.
- W2976193444 title "Flexibility of Lyapunov exponents with respect to two classes of measures on the torus." @default.
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