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math.DS2025
Almost Countable Spectrum and Logarithmic Sarnak Conjecture
Wen Huang, Maoru Tan, Leiye Xu
In this paper, we introduce topological dynamical systems with almost countable spectrum. We prove that the Logarithmic Sarnak Conjecture holds for zero-entropy topological dynamic…
math.DS2019
Ergodic optimization theory for a class of typical maps
Wen Huang, Zeng Lian, Xiao Ma +2
In this article, we consider the weighted ergodic optimization problem of a class of dynamical systems where is a compact metric space and is Lipschitz continuou…