

Research activities 
 Gaussian multiplicative chaos, multifractal random measures and their applications,
 Liouville field theory and 2d quantum gravity,
 Probabilistic representation of fully developed turbulence,

Publication list 
44On a skewed and multifractal unidimensional random field, as a probabilistic representation of Kolmogorov's views on turbulence with L.Chevillard, C.Garban and V.Vargas.
43The Tail expansion of Gaussian multiplicative chaos and the Liouville reflection coefficient with V.Vargas.
42Integrability of Liouville theory: proof of the DOZZ Formula with A.Kupiainen and V.Vargas.
41Liouville Quantum Gravity and Polyakov's formulation of 2d string theory with C.Guillarmou and V.Vargas.
40Lecture notes on Gaussian multiplicative chaos and Liouville Quantum gravity with V.Vargas.
39Conformal Ward and BPZ identities for Liouville quantum field teory with A.Kupiainen and V.Vargas.
38Renormalizability of Liouville Quantum Gravity at the Seiberg bound, with F.David, A.Kupiainen and V.Vargas, 2015..
37Liouville Quantum Gravity on the complex tori, with F.David and V.Vargas, 2015.
36Continuity estimates for the complex cascade model on the phase boundary, with T. Madaule and V.Vargas, 2015.
35Liouville quantum gravity on the unit disk, with Y. Huang and V.Vargas, 2015.
34Liouville quantum gravity on the Riemann sphere, with F.David, A.Kupiainen and V.Vargas, 2014.
33Logcorrelated Gaussian fields: an overview, with B.Duplantier, S.Sheffield and V.Vargas, 2014.
32KPZ formula derived from Liouville heat kernel, with N.Berestycki, C.Garban and V.Vargas, 2014.
31Liouville heat kernel: regularity and bounds, with P.Maillard, V.Vargas and O.Zeitouni, to appear in Annales de l'institut Henri Poincaré.
30Large deviations for random surfaces: the hyperbolic nature of Liouville Field Theory, with H.Lacoin and V.Vargas, 2014.
29Liouville Brownian motion at criticality, with V.Vargas, to appear in Potential Analysis.
28The glassy phase of complex branching Brownian motion , with T.Madaule and V.Vargas, to appear in Commun. Math. Physics.
27Glassy phase and freezing of logcorrelated Gaussian potentials , with T.Madaule and V.Vargas, to appear in Annals of Applied Probability.
26Complex Gaussian multiplicative chaos , with H.Lacoin and V.Vargas, to appear in Commun. Math. Physics.
25Gaussian multiplicative chaos and applications: a review , with V.Vargas, to appear in Probability surveys.
24Spectral dimension of Liouville quantum gravity , with V.Vargas, to appear in Annales Henri Poincaré.
23On the heat kernel and the Dirichlet form of Liouville Brownian motion , with C.Garban and V.Vargas, to appear in Electron. Journal Probab.
22Liouville Brownian motion , with C.Garban and V.Vargas, 2013, to appear in Annals of Probability.
21Renormalization of critical Gaussian multiplicative chaos and KPZ formula , with B.Duplantier, S.Sheffield and V.Vargas, Commun. Math. Physics, 2014, Volume 330, Issue 1, pp 283330.
20Gaussian multiplicative chaos for symmetric isotropic matrices , with L.Chevillard and V.Vargas, Journal of Statistical Physics, February 2013, Volume 150, Issue 4, pp 678703.
19Critical Gaussian multiplicative chaos: Convergence of the derivative martingale , with B.Duplantier, S.Sheffield and V.Vargas, Annals of Probability, Volume 42, Number 5 (2014), 17691808.
18Limiting laws of supercritical branching random walks , with J.Barral and V.Vargas, Comptes rendus  Mathematique 350 (2012) pp. 535538.
17Gaussian multiplicative chaos and KPZ duality , with J.Barral, X. Jin, and V.Vargas, Comm. in Math. Physics, October 2013, Volume 323, Issue 2, pp 451485.
16Levy multiplicative chaos and star scale invariant random measures, with J.Sohier and V.Vargas, Annals of Probability, Volume 42, Number 2 (2014), 689724.
15Marchenko Pastur type theorem for independent MRW processes: convergence of the empirical spectral measure, with R.Allez and V.Vargas, to appear in ESAIM PS.
14Lognormal scale invariant random measures, with R.Allez and V.Vargas, Probability Theory and Related Fields, April 2013, Volume 155, Issue 34, pp 751788.
13Optimal transportation for multifractal random measures, applications, with V.Vargas, Annales de l'Institut Henri Poincaré PS, Volume 49, Number 1 (2013), 119137.
12Forecasting volatility in the presence of leverage effect, with J.C. Domenge and V.Vargas.
11Critical homogenization of ItôLevy process driven SDEs in random medium, with B. Sow, Stochastic Analysis and Applications, Volume 29, Issue 5, 2011.
10Multidimensional Multifractal Random Measures, with V.Vargas, Electronic Journal of Probability, 2010, Vol 15, 241258.
9Scaling limits for symmetric ItôLévy processes in random medium, with V.Vargas, Stochastic Processes and their Applications, volume 119, no 12, 2009.
8KPZ formula for loginfinitely divisible multifractal random measures, with V. Vargas, ESAIM PS, 2011, Vol 15, 358371.
7Stochastic Homogenization of Reflected Diffusion Processes, Electronic Journal of Probability, 2010, vol 15, 9891023.
6Homogenization of periodic semilinear parabolic degenerate PDEs, with E. Pardoux and B. Sow, Annales de l'Institut Henri Poincaré ANL, Vol 26, Issue 3, MayJune 2009, 978998.
5Stochastic Homogenization of Quasilinear PDEs with a spatial degeneracy, with F. Delarue, Asymptotic Analysis, 2009, 61, 6190.
4Homogenization of locally ergodic diffusions with possibly degenerate diffusion matrix, Annales de l'Insitut Henri Poincaré PS, Volume 45, Number 4 (2009), 9811001.
3Diffusion in a Locally Stationary Random Environment, Probability Theory and Related Fields, Vol 143, No 34, 2009, p. 545568.
2Homogenization of spacetime dependent and degenerate random flows II, Annales de l'Institut Henri Poincaré (PS) 2008, vol. 44, n.4, p. 673692.
1Homogenization of spacetime dependent and degenerate random flows,
Stochastic Processes and their Applications, 117 (2007), pages 15611585.

