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On bifurcation of statistical properties of partially hyperbolic endomorphisms

2022/03/29 by Tsujii, Masato, Zhang, Zhiyuan
#37C30 #37C40 #37D30 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2203.15240

Abstract

We give an example of a path-wise connected open set of C^∞ partially hyperbolic endomorphisms on the 2-torus, on which the SRB measure exists for each system and varies smoothly depending on the system, while the sign of its central Lyapunov exponent does change.

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