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math.DS2023
A volume preserving nonuniformly hyperbolic diffeomorphism with arbitrary number of ergodic components and close to the identity
Jianyu Chen, Huyi Hu, Yun Yang
We prove that for any $\ell\in\NN\cup\{\infty\}$ and any $r\in \NN$, every compact smooth Riemannian manifold $\cM$ of $\dim \cM\ge 5$ carries a volume preserving nonuni…
math.DS2023
Inducing Schemes with Finite Weighted Complexity
Jianyu Chen, Fang Wang, Hong-Kun Zhang
In this paper, we consider a Borel measurable map of a compact metric space which admits an inducing scheme. Under the finite weighted complexity condition, we establish a thermody…