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.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…
math.DS2025
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 maps, o…