3 papers
math.AP2026
Physical-Space Scarring in Generic Bunimovich Stadia
Heng Li, Xizhi Liu
For the family of Dirichlet stadia whose rectangular part has height and half-length , , we show that for Lebesgue almost every there exist real…
math.DS2026
Entropy Continuity of Lyapunov Exponents for Non-flat 1-dimensional Maps
Hengyi Li
We show that the continuity property of Lyapunov exponents proved in \cite{BCS-Exponents} for smooth surface diffeomorphisms extends to smooth interval maps, in the case when the m…
math.DS2025
Continuity of Lyapunov exponents for C^r one-dimensional maps
Alexandre Delplanque, Hengyi Li
We prove the entropic continuity of Lyapunov exponent for C^r maps of the interval or of the circle with large entropy for r>1, without making any assumptions on the set of critica…