Éléments de probabilités quantiques (exposés VI à VIII)
Éléments de probabilités quantiques. X. Approximation de l'oscillateur harmonique (d'après L. Accardi et A. Bach)
Éléments de probabilités quantiques. XI. Caractérisation des lois de Bernoulli quantiques d'après K. R. Parthasarathy
Équations de structure des martingales et probabilités quantiques
Ergodic Actions by Compact Groups on C*-Algebras.
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 diffusions, free entropy and free Fisher information
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.
Gaussian random band matrices and operator-valued free probability theory
Generalized q-deformed Gaussian random variables
We produce generalized q-Gaussian random variables which have two parameters of deformation. One of them is, of course, q as for the usual q-deformation. We also investigate the corresponding Wick formulas, which will be described by some joint statistics on pair partitions.
Geometric aspects of the Tomita-Takesaki theory I.
Geometric aspects of the Tomita-Takesaki theory II.
Gleason measures and some inner products on the algebra of bounded operators on a Hilbert space
Gleason theorem for signed measures with infinite values
Heisenberg's picture and non commutative geometry of the semi classical limit in quantum mechanics
Hypercontractivité pour les fermions, d'après Carlen-Lieb
Index computation for amalgamated products of product systems.