2 papers
math.DS2026
Extremal distributions of partially hyperbolic systems: the Lipschitz threshold
Martin Leguil, Disheng Xu, Jiesong Zhang
We prove a sharp phase transition in the regularity of the extremal distribution for volume-preserving partially hyperbolic diffeomorphisms on closed $3…
math.DS2024
Invariant distributions of partially hyperbolic systems: fractal graphs, excessive regularity, and rigidity
Disheng Xu, Jiesong Zhang
We introduce a novel approach linking fractal geometry to partially hyperbolic dynamics, revealing several new phenomena related to regularity jumps and rigidity. One key result de…