3 papers
math.DS2026
Joint typical periodic optimization: systems with stable hyperbolicity
Zelai Hao, Yinying Huang, Oliver Jenkinson +1
The framework of joint typical periodic optimization, in which both the dynamical system and the potential function are allowed to vary simultaneously, was introduced in [HHJL25],…
math.DS2026
Joint typical periodic optimization
Zelai Hao, Yinying Huang, Oliver Jenkinson +1
We prove a generalised Yuan--Hunt--Mañé Conjecture: if is the Banach space of -Hölder functions, and is either a space of Lipschitz expanding map…
math.DS2025
Ergodic optimization for Gauss's continued fraction map
Yinying Huang, Oliver Jenkinson, Zhiqiang Li
The theory of ergodic optimization for distance-expanding maps is extended to Gauss's continued fraction map. Since the set of invariant probability measures is not weak closed…