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arXiv · 2203.15240

On bifurcation of statistical properties of partially hyperbolic endomorphisms

Masato Tsujii·Zhiyuan Zhang
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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 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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Masato Tsujii, Zhiyuan Zhang. 2022-03-29. On bifurcation of statistical properties of partially hyperbolic endomorphisms. https://arxiv.org/abs/2203.15240

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