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math.DS2021
Lyapunov optimizing measures and periodic measures for expanding maps
Wen Huang, Leiye Xu, Dawei Yang
We prove that there exists an open and dense subset in the space of expanding self-maps of the circle such that the Lyapunov minimizing measures…
math.DS2021
Multiply minimal points for the product of iterates
Wen Huang, Song Shao, Xiangdong Ye
The multiple Birkhoff recurrence theorem states that for any , every system has a multiply recurrent point , i.e. is recurrent under $τ_…