Factorization of Operators Through Lp ... or Lp1 and Non-Commutative Generalizations.
Feuilletages et algèbres d'opérateurs
Frame functions, signed measures and completeness of inner product spaces
Free and classical entropy over the circle.
Free cumulants of some probability measures
Free dendriform algebras. I: A parenthesis setting.
Free diffusions, free entropy and free Fisher information
Free generalized gamma convolutions.
Free powers of the free Poisson measure
We compute moments of the measures , where ϖ denotes the free Poisson law, and ⊞ and ⊠ are the additive and multiplicative free convolutions. These moments are expressed in terms of the Fuss-Narayana numbers.
Free probability theory and non-crossing partitions.
Freeness with amalgamation, limit theorems and S-transform in non-commutative probability spaces of type B
The paper addresses several problems left open by P. Biane, F. Goodman and A. Nica [Trans. Amer. Math. Soc. 355 (2003)]. The main result is that a type B non-commutative probability space can be studied in the framework of freeness with amalgamation. This view allows easy ways of constructing a version of the S-transform as well as proving analogues to the Central Limit Theorem and Poisson Limit Theorem.
Fuss-Catalan numbers in noncommutative probability.