论文标题

关于部分双曲内态统计特性的分叉

On bifurcation of statistical properties of partially hyperbolic endomorphisms

论文作者

Tsujii, Masato, Zhang, Zhiyuan

论文摘要

我们举例说明了$ c^\ infty $ $ c^\ infty $的$ c^\ infty $的示例,该集对$ 2 $ -TORUS上的部分双曲内态性,每个系统的SRB度量在该系统上都存在,并且根据系统的平稳变化,而其Central Lyapunov Exponent的符号确实改变了。

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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