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math.DS2022
Geometry in the Furstenberg Conjecture
Yunping Jiang
We explore the geometric aspects of the Furstenberg conjecture, proving that a non-atomic probability measure on the unit circle, invariant under both - and -actions for copr…
math.DS2022
Orders of Oscillation Motivated by Sarnak's Conjecture--Part II
Yunping Jiang
This work is a continuation of [13]. We study the linear disjointness between higher-order oscillating sequences and nonlinear dynamical systems. Specifically, we prove that any os…