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On bifurcation of statistical properties of partially hyperbolic endomorphisms
Published online by Cambridge University Press: 18 April 2023
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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- © The Author(s), 2023. Published by Cambridge University Press