Office: Braconnier 227

I coorganize the following conference Probably on Random Matrices.

Most of my articles can be found on Arxiv. Links to published versions or preprints can be found bellow.

- A non-commutative Path Space approach to stationary free Stochastic Differential Equations Arxiv:1006.4351
- A Free Stochastic Partial Differential Equation. Ann. Inst. H. Poincaré Probab. Statist. Volume 50, Number 4 (2014), 1404-1455. (Slightly more general results with a worse exposition in the second older arxiv version Arxiv:1008.4742v2 )
- (with Philippe Biane) Concavification of free entropy. Advances in Mathematics Volume 234, 15 February 2013, Pages 667–696
- (with Ken Dykema and Kunal Mukherjee) The simplex of tracial quantum symmetric states Studia Mathematica 225 (2014), 203-218.
- Time Reversal of free diffusions I : Reversed Brownian motion, Reversed SDE and first order regularity of conjugate variables Arxiv:1402.4774
- Non-commutative Analytic functions relative to a covariance map : I. Generalized Haagerup products and analytic relations Arxiv:1503.05515
- A Laplace Principle for Hermitian Brownian Motion and Free Entropy Arxiv:1604.06420
- (with Alice Guionnet and Dima Shlyakhtenko) Free transport for convex potentials Arxiv:1701.00132

- Continuous model theories for von Neumann algebras Arxiv:1508.03202
- (with Marie Kerjean) Models of Linear Logic based on the Schwartz $\varepsilon$-product Arxiv:1712.07344

- A Note about proving non-Γ under a finite non-microstates free Fisher information Assumption. Journal of Functional Analysis. Volume 258, Issue 11, 1 June 2010, Pages 3662–3674
- (with Adrian Ioana) Unbounded derivations, free dilations and indecomposability results for II_1 factors Arxiv:1212.6425 (To appear in Trans. Amer. Math. Soc. )
- (with Stephen Curran and Dimitri Shlyakhtenko) Free analysis and planar algebras. Proceedings of the 2014 Maui and 2015 Qinhuangdao conferences in honour of Vaughan F.R. Jones’ 60th birthday p 115

- (with Christian Brouder) Functional properties of Hörmander's space of distributions having a specified wavefront set. Communications in Mathematical Physics December 2014, Volume 332, Issue 3, pp 1345-1380
- Functional properties of Generalized Hörmander spaces of distributions I : Duality theory, completions and bornologifications Arxiv:1411.3012
- Functional properties of Generalized Hörmander spaces of distributions II : Multilinear maps and applications to spaces of functionals with wave front set conditions arXiv:1412.1749

- (with Alexander I. Bufetov and Yanqi Qiu ) Linear rigidity of stationary stochastic processes. Arxiv:1507.00670