The Pesin entropy formula for diffeomorphisms with dominated splitting
نویسندگان
چکیده
منابع مشابه
Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting
We consider a real-analytic compact surface diffeomorphism f , for which the tangent space over the nonwandering set Ω admits a dominated splitting. We study the dynamical determinant df (z) = exp− ∑ n≥1 z n ∑ x∈Fix ∗fn |Det (Df (x) − Id )|, where Fix fn denotes the set of fixed points of f with no zero Lyapunov exponents. By combining previous work of Pujals and Sambarino [PS1, PS2] on C surfa...
متن کاملul 2 00 3 Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting
We consider a real analytic compact surface diffeomorphism f , for which the tangent space over the nonwandering set Ω admits a dominated splitting. We study its dynamical determinant df (z) = exp− ∑ n≥1 z n ∑ x∈Fix ∗fn |Det (Df (x)− Id )|, where Fix f denotes the set of fixed points of f with no zero Lyapunov exponents. By combining previous work of Pujals and Sambarino on C surface diffeomorp...
متن کاملA ug 2 00 3 Dynamical zeta functions for analytic surface diffeomorphisms with dominated splitting
We consider a real-analytic compact surface diffeomorphism f , for which the tangent space over the nonwandering set Ω admits a dominated splitting. We study the dynamical determinant df (z) = exp− ∑ n≥1 z n ∑ x∈Fix ∗fn |Det (Df (x)− Id )|, where Fix fn denotes the set of fixed points of f with no zero Lyapunov exponents. By combining previous work of Pujals and Sambarino [PS1, PS2] on C surfac...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2014
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2013.93