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- W2259155247 abstract "Let $M$ be a 2$d-$dimensional compact connected Riemannian manifold and $omega$ be a symplectic form on $M$. In this paper, we prove that a symplectic diffeomorphism, with all Lyapunov exponent zero for almost everywhere, can be $C^1$ approximated by one with a positive Lyapunov exponent for a positive-measured subset of $M$. That is, the set [ left{ fin mathcal{S}ym^1_{omega}(M),| begin{array}{ll} &mbox{The largest Lyapunov exponent }lambda_1(f,,x)>0 &mbox{ for a positive measure set } end{array} right} ] is dense in $mathcal{S}ym^1_{omega}(M)$. end{abstract} end{center}" @default.
- W2259155247 created "2016-06-24" @default.
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- W2259155247 date "2015-06-17" @default.
- W2259155247 modified "2023-09-27" @default.
- W2259155247 title "On density of positive Lyapunov exponents for $C^1$ symplectic diffeomorphisms" @default.
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