9 papers
Pointwise Ergodic Theorems Along Reiter Sequences on Locally Compact Groups
Panchugopal Bikram, Sudipta Kundu, Hariharan G +1
Let be a locally compact, second countable group admitting a Reiter sequence, and suppose that acts on a von Neumann algebra equipped with a semifinite trace…
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…
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…
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…
Weighted weak estimate for non-commutative square function
Samya Kumar Ray, Diptesh Saha
In this article, we consider weighted weak type inequality for certain square function associated to differences of ball averages and martingale in the non-commutative sett…
Maximal Inequality Associated to Doubling Condition for State Preserving Actions
Panchugopal Bikram, Diptesh Saha
In this article, we prove maximal inequality and ergodic theorems for state preserving actions on von Neumann algebra by an amenable, locally compact, second countable group equipp…
On the non-commutative Neveu decomposition and stochastic ergodic theorems
Panchugopal Bikram, Diptesh Saha
In this article, we prove Neveu decomposition for the action of the locally compact amenable semigroup of positive contractions on semifinite von Neumann algebras and thus, it enti…
On noncommutative ergodic theorems for semigroup and free group actions
Panchugopal Bikram, Diptesh Saha
In this article, we consider actions of \mathcal{Z}_+^d, \mathcal{R}_+^d and finitely generated free groups on a von Neumann algebras and prove a version of maximal ergodic ine…
Weighted Subsequential ergodic theorems on Orlicz spaces
Panchugopal Bikram, Diptesh Saha
For a semifinite von Neumann algebra M, individual convergence of subsequential, \mathcal{Z}(M) (center of M) valued weighted ergodic averages are studied in noncommutative Orlicz…