Michihiro Hirayama

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20202024

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math.DS2024

An extension of the Wiener-Wintner ergodic theorem for pointwise jointly ergodic systems and its applications

Michihiro Hirayama, Younghwan Son

A joint measure-preserving system is $(X, B, μ_{1}, \dots, μ_{k}, T_{1}, \dots, T_{k})$ , where each $(X, B, μ_{i}, T_{i})$ is a measure-preserving system and an…

math.DS2020

On the multiple recurrence properties for disjoint systems

Michihiro Hirayama, Dong Han Kim, Younghwan Son

We consider mutually disjoint family of measure preserving transformations $T_{1}, \dots, T_{k}$ on a probability space $(X, B, μ)$ . We obtain the multiple recurrence proper…