58 citations · 191 across the 29 of their papers we have counts for
20 papers · 1 filter
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…
Quasi-invariant states with uniformly bounded cocycles
Ameur Dhahri, Eric Ricard
We investigate the notion of quasi-invariant states introduced in [2, 3] from an analytic viewpoint.We give the structures of quasi-invariant states with uniformly bounded cocycles…
Revisiting the Marcinkiewicz theorem for non commutative maximal functions
Léonard Cadilhac, Éric Ricard
We give an alternative proof of a Marcinkiewicz interpolation theorem for non commutative maximal functions and positive maps, slightly refining earlier versions of the statement.…
On the factoriality of q-deformed Araki-Woods von Neumann algebras
Panchugopal Bikram, Kunal Mukherjee, Éric Ricard +1
The -deformed Araki-Woods von Neumann algebras are factors for all whenever .…
Sum of Free Variables in Fully Symmetric Spaces
Léonard Cadilhac, Eric Ricard
We give a method to obtain, from Voiculescu's inequality, norm estimates for sums of free variables with amalgamation in general fully symmetric spaces. We use these estimates to i…
Factoriality of -deformed Araki-Woods von Neumann algebras
Panchugopal Bikram, Kunal Mukherjee
It is proved that the -Araki-Woods von Neumann algebras $Γ_q(\CH_\R,U_t)^{\prime\prime}$ for are factors if $dim(\CH_\R)\geq 3$.