3 papers
math.DS2026
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…
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…