4 papers
Explicit exposure of Haar measure
Yixuan Huang, Oliver Jenkinson, Zhiqiang Li +1
We solve the problem of explicitly constructing a continuous function whose unique maximizing measure for the doubling map is Lebesgue measure. More generally, given a nontrivial c…
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],…
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…
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…