On bifurcation of statistical properties of partially hyperbolic endomorphisms - Archive ouverte HAL
Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2023

On bifurcation of statistical properties of partially hyperbolic endomorphisms

Résumé

Abstract We give an example of a path-wise connected open set of $C^{\infty }$ partially hyperbolic endomorphisms on the $2$ -torus, on which the (unique) Sinai–Ruelle–Bowen (SRB) measure exists for each system and varies smoothly depending on the system, while the sign of its central Lyapunov exponent changes.
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Dates et versions

hal-04256895 , version 1 (24-10-2023)

Identifiants

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Masato Tsujii, Zhiyuan Zhang. On bifurcation of statistical properties of partially hyperbolic endomorphisms. Ergodic Theory and Dynamical Systems, 2023, pp.1-12. ⟨10.1017/etds.2023.11⟩. ⟨hal-04256895⟩
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