Typicality of periodic optimization over an expanding circle map

2025/01/19 by Gao, Rui, Shen, Weixiao, Zhang, Ruiqin · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2501.10949

Abstract

We study the ergodic optimization problem over a real analytic expanding circle map. We show that in both the topological and the measure-theoretical senses, a typical C^r performance function has a unique maximizing measure and the unique maximizing measure is supported on a periodic orbit, for r=1,2,⋯,∞,ω.

Cited by

• Typical Uniqueness in Ergodic Optimization

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