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math.OA2026
Non-commutative Law of iterated logarithm
Sourav Panja, Ãric 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.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…