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math.DS2021
Quantitative ergodic theorems for actions of groups of polynomial growth
Guixiang Hong, Wei Liu
We strengthen the maximal ergodic theorem for actions of groups of polynomial growth to a form involving jump quantity, which is the sharpest result among the family of variational…
math.DS2016★ 2 cited
Noncommutative maximal ergodic theorems for spherical means on the Heisenberg group
Guixiang Hong
We prove maximal ergodic theorems for spherical averages on the Heisenberg groups acting on spaces over measure spaces not necessarily commutative, that is, on noncommutative…