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math.DS2025
Lyapunov maximizing measures for balanced pairs of matrices
Rui Gao
We show that every balanced pair (see Definition 1.1) of real matrices admits a unique Lyapunov maximizing measure, and the measure is always Sturmian.
math.DS2025
Typicality of periodic optimization over an expanding circle map
Rui Gao, Weixiao Shen, Ruiqin Zhang
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 perfor…