报告题目：Quantitative multiple pointwise ergodic theorem
报 告 人：石荣刚 上海数学中心青年研究员
时 间：2019年6月23日 10：00--11：00
地 点：新波谱楼12楼1217报告厅
Abstract：
The multiple pointwise ergodic theorem is a generalization of the Birkhoff ergodic theorem. The question is initiated by Hill Furstenberg who proved multiple recurrence. Although there are many cases known, the general question is still open. We show that effective multiple correlations imply quantitative multiple pointwise ergodic theorem. This result can be applied to subgroup actions on homogeneous spaces, nilmanifold automorphisms and subshifts of finite type.