25 citations · 109 across the 37 of their papers we have counts for
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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…
math.PR2016
Asymmetric Doob inequalities in continuous time
Guixiang Hong, Marius Junge, Javier Parcet
The present paper is devoted to the second part of our project on asymmetric maximal inequalities, where we consider martingales in continuous time. Let be a nonco…
math.OA2016★ 3 cited
Noncommutative multi-parameter Wiener-Wintner type ergodic theorem
Guixiang Hong, Mu Sun
In this paper, we establish a multi-parameter version of Bellow and Losert's Wiener-Wintner type ergodic theorem for dynamical systems not necessarily being commutative. More preci…