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math.OA2025
Non-Commutative Maximal Inequalities for State-Preserving Actions of amenable groups
Panchugopal Bikram, Hariharan G, Sudipta Kundu +1
In this article, we establish maximal inequalities and deduce ergodic theorems for state-preserving actions of amenable, locally compact, second-countable groups on tracial non-com…
math.OA2025
Non-commutative Law of iterated logarithm
Sourav Panja, Éric Ricard, Diptesh Saha
We prove optimal non-commutative analogues of the classical Law of Iterated Logarithm (LIL) for both martingales and sequences of independent (non-commutative) random variables. Th…
math.FA2025
Maximal inequalities for square functions and quantitative mean ergodic theorems associated to group metric measure spaces
Panchugopal Bikram, Diptesh Saha
In this article, we establish weighted strong and weak type inequalities for non-commutative square functions that naturally arise in the analysis of differences between ball avera…