Multiple Ergodic Theorem on Homogeneous Spaces

[Math. Dept.]

April 18, 2018  15:00-16:00

E409  School of Mathematics

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SPEAKER

Ronggang Shi (Shanghai Center for Mathematical Sciences)

ABSTRACT

We prove a multiple ergodic theorem for one parameter diagonal group actions on homogeneous spaces. The convergence rate is also obtained. The proof uses effective k-step correlations. These effective results are based on the existence of the spectral gap and quantitative nonescape of mass estimates.

SUPPORTED BY

School of Mathematics, Sichuan University