3 papers
math.DS2026
Behavior of the SRB Entropy Functional in Families of Hyperbolic Attractors and Expanding Maps
Miaohua Jiang
We review the current state of the study of the SRB entropy functional over open components of families of uniformly hyperbolic systems, including Anosov systems, hyperbolic attrac…
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-ph2023
Gradient Flow of the Sinai-Ruelle-Bowen Entropy
Miaohua Jiang
We study both the local and global existence of a gradient flow of the Sinai-Ruelle-Bowen entropy functional on a Hilbert manifold of expanding maps of a circle equipped with a Sob…