2 papers
math.DS2025
Lipschitz Continuity and Formulas of the Gradient Vector of the SRB Entropy Functional
Jianyu Chen, Miaohua Jiang
The Sobolev embedding theorem implies that the SRB entropy functional is also differentiable in the family of Anosov diffeomorphisms equipped with a suitable Hilbert manifold struc…
math.DS2025
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…