Preprints
Review on the probabilistic construction and Conformal bootstrap in Liouville Theory
with C. Guillarmou, A. Kupiainen
arXiv:2403.12780
[Arxiv]Semigroup of annuli in Liouville CFT
with Guillaume Baverez, Colin Guillarmou, Antti Kupiainen
arXiv:2403.10914
[Arxiv]Compactified Imaginary Liouville theory
with Colin Guillarmou, Antti Kupiainen
arXiv:2310.18226
[Arxiv]Segal's axioms and bootstrap in Liouville theory
with Colin Guillarmou, Antti Kupiainen, Vincent Vargas
arXiv:2112.14859
[Arxiv]
Papers
The Virasoro structure and the scattering matrix for Liouville conformal field theory
with Guillaume Baverez, Colin Guillarmou, Antti Kupiainen, Vincent Vargas
Probability and Mathematical Physics, to appear
[Arxiv]Probabilistic construction of Toda conformal field theories
with Baptiste Cerclé, Vincent Vargas
Annales Henri Lebesgue, vol 6 (2023), pp. 31-64
[Arxiv] [Journal]Conformal bootstrap in Liouville Theory
with Colin Guillarmou, Antti Kupiainen, Vincent Vargas
Acta Mathematica, to appear
[Arxiv] [Journal]The semiclassical limit of Liouville conformal field theory
with Hubert Lacoin, Vincent Vargas
Annales de la Faculté des sciences de Toulouse Série 6 , Tome 31 no 4 (2022), p. 1031–1083
[Arxiv] [Journal]A probabilistic approach of ultraviolet renormalisation in the boundary Sine-Gordon model
with Hubert Lacoin, Vincent Vargas
Probability Theory and Related Fields, 185 (2023) pages 1–40.
[Arxiv] [Journal]Path integral for quantum Mabuchi K-energy
with Hubert Lacoin, Vincent Vargas
Duke Math. Journal, 171(3), (2022) 483-545
[Arxiv] [Journal]On a skewed and multifractal uni-dimensional random field, as a probabilistic representation of Kolmogorov's views on turbulence
with Laurent Chevillard, Christophe Garban, Vincent Vargas
Annales Henri Poincaré, Volume 20 , (2019) pages 3693–3741
[Arxiv] [Journal]The Tail expansion of Gaussian multiplicative chaos and the Liouville reflection coefficient
with Vincent Vargas
Annals of Probability. Volume 47 Number 5 (2019), 3082-3107.
[Arxiv] [Journal]Integrability of Liouville theory: proof of the DOZZ Formula
with Antti Kupiainen, Vincent Vargas
Annals of Mathematics, Volume 191 , issue 1 (2020), pages 81-166.
[Arxiv] [Journal]Polyakov's formulation of 2d bosonic string theory
with Colin Guillarmou, Vincent Vargas
Publications mathématiques de l'IHES, Volume 130 , (2019) p1-75.
[Arxiv] [Journal]Lecture notes on Gaussian multiplicative chaos and Liouville Quantum gravity
with Vincent Vargas
based on lectures given at Les Houches summer school.
[Arxiv]Local conformal structure of Liouville quantum gravity
with Antti Kupiainen, Vincent Vargas
Communications in Mathematical Physics, Volume 371 , (2019) pages 1005–1069.
[Arxiv] [Journal]Renormalizability of Liouville Quantum Gravity at the Seiberg bound
with François David, Antti Kupiainen, Vincent Vargas
Electron. J. Probab. Volume 22 , (2017) 1-26.
[Arxiv] [Journal]Liouville Quantum Gravity on the complex tori
with François David, Vincent Vargas
J. Math. Phys. Volume 57 , issue 2 (2016), 022302.
[Arxiv] [Journal]Continuity estimates for the complex cascade model on the phase boundary
with Thomas Madaule, Vincent Vargas
arXiv:1502.05655.
[Arxiv]Liouville quantum gravity on the unit disk
with Yichao Huang, Vincent Vargas
Ann. Inst. H. Poincaré Probab. Statist., Volume 54, issue 3 (2018) 1694-1730.
[Arxiv] [Journal]Liouville quantum gravity on the Riemann sphere
with François David, Antti Kupiainen, Vincent Vargas
Communications in Mathematical Physics, Volume 342, (2016) pages 869–907.
[Arxiv] [Journal]Log-correlated Gaussian fields: an overview
with Bertrand Duplantier, Scott Sheffield, Vincent Vargas
Progress in Mathematics, Volume 310 , (2017) Springer International Publishing.
[Arxiv] [Journal]KPZ formula derived from Liouville heat kernel
with Nathanaël Berestycki, Christophe Garban, Vincent Vargas
arXiv:1502.05655. Volume 94 , issue 1 (2016) Pages 186-208.
[Arxiv] [Journal]Liouville heat kernel: regularity and bounds
with Pascal Maillard, Vincent Vargas, Ofer Zeitouni
Ann. Inst. H. Poincaré Probab. Statist., Volume 52 , issue 3 (2016) pages 1281-1320.
[Arxiv] [Journal]Semiclassical limit of Liouville Field Theory
with Hubert Lacoin, Vincent Vargas
Journal of Functional Analysis, Volume 273 , issue 3 (2017), 875-916.
[Arxiv] [Journal]Liouville Brownian motion
with Christophe Garban, Vincent Vargas
Annals of Probability. Volume 44 , Number 4 (2016), 3076-3110.
[Arxiv] [Journal]On the heat kernel and the Dirichlet form of Liouville Brownian Motion
with Christophe Garban, Vincent Vargas
Electron. J. Probab. Volume 19 (2014) 95, 1--25
[Arxiv] [Journal]The glassy phase of complex branching Brownian motion
with Thomas Madaule, Vincent Vargas
Communications in Mathematical Physics, Volume 334 , (2015), pages 1157–1187.
[Arxiv] [Journal]Glassy phase and freezing of log-correlated Gaussian potentials
with Thomas Madaule, Vincent Vargas
Ann. Appl. Probab., Volume 25 , issue 2 (2016), pages 643-690.
[Arxiv] [Journal]Complex Gaussian multiplicative chaos
with Hubert Lacoin, Vincent Vargas
Communications in Mathematical Physics, Volume 337 Number 1 (2015), pages 569–632.
[Arxiv] [Journal]Gaussian multiplicative chaos and applications: a review
with Vincent Vargas
Probability Surveys. Volume 11 (2014), pages 315-392 (electronic).
[Arxiv] [Journal]Spectral dimension of Liouville quantum gravity
with Vincent Vargas
Annales Henri Poincaré, Volume 15 , (2014), pages 2281–2298.
[Arxiv] [Journal]Renormalization of critical Gaussian multiplicative chaos and KPZ formula
with Bertrand Duplantier, Scott Sheffield, Vincent Vargas
Communications in Mathematical Physics, Volume 330 , (2014), pages 283–330.
[Arxiv] [Journal]Gaussian multiplicative chaos for symmetric isotropic matrices
with Laurent Chevillard, Vincent Vargas
Journal of Statistical Physics Volume 150 , (2013) pages 678–703.
[Arxiv] [Journal]Critical Gaussian multiplicative chaos: Convergence of the derivative martingale
with Bertrand Duplantier, Scott Sheffield, Vincent Vargas
The Annals of Probability Volume 42 , No 5 (2014), pages 1769-1808
[Arxiv] [Journal]Limiting laws of supercritical branching random walks
with Julien Barral , Vincent Vargas
Comptes Rendus Mathematique, Volume 350 , Issue 9-10 (2019), Pages 535-538.
[Arxiv] [Journal]Gaussian multiplicative chaos and KPZ duality
with Julien Barral , Xiong Jin, Vincent Vargas
Communications in Mathematical Physics. Volume 323, (2013) pages 451-485.
[Arxiv] [Journal]Levy multiplicative chaos and star scale invariant random measures
with Julien Sohier, Vincent Vargas
Journal of Functional Analysis. Volume 42 , No. 2 (2014), pp. 689-724.
[Arxiv] [Journal]Marchenko Pastur type theorem for independent MRW processes: convergence of the empirical spectral measure
with Romain Allez, Vincent Vargas
ESAIM PS, Volume 19 (2015) pages 327-360.
[Arxiv] [Journal]Lognormal scale invariant random measures
with Romain Allez, Vincent Vargas
Probability Theory and Related Fields, Volume 155 (2013) pages 751–788.
[Arxiv] [Journal]Optimal transportation for multifractal random measures, applications
with Vincent Vargas
Ann. Inst. H. Poincaré Probab. Statist., Volume 49 , issue 1 (2013) pages 119-137.
[Arxiv] [Journal]Forecasting volatility in the presence of leverage effect
with Jean-Christophe Domenge, Vincent Vargas
hal-00502273 .
[Hal]Critical homogenization of Itô-Levy process driven SDEs in random medium
with Bamba A. Sow
Stochastic Analysis and Applications Volume 29 , issue 5 (2011) pages 838-859.
[Arxiv] [Journal]Multidimensional Multifractal Random Measures
with Vincent Vargas
Electron. J. Probab., Volume 15 , Number 9 (2010), pages 241-258.
[Hal] [Journal]Scaling limits for symmetric Itô-Lévy processes in random medium
with Vincent Vargas
Stochastic Processes and their Applications, 185 (2023), 839--884
[Arxiv] [Journal]KPZ formula for log-infinitely divisible multifractal random measures
with Vincent Vargas
ESAIM: PS, 15, (2011) pages 358-371.
[Arxiv] [Journal]Stochastic Homogenization of Reflected Diffusion Processes,
Electronic Journal of Probability,
15 , Number 1 (2010), pages 989-1023.
[Arxiv] [Journal]Homogenization of periodic semilinear parabolic degenerate PDEs
with Etienne Pardoux, Bamba Sow
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 26 , (2009) pages 979-998.
[Hal] [Journal]Stochastic Homogenization of Quasilinear PDEs with a spatial degeneracy
with François Delarue
Asymptotic Analysis
61, Number 2 (2009), pages 61-90.
[Hal] [Journal]Homogenization of locally ergodic diffusions with possibly degenerate diffusion matrix
Annales de l’Institut Henri Poincaré - Probabilités et Statistiques, Volume 45 , Number 4 (2009), pages 981-1001.
[Arxiv] [Journal]Diffusion in a Locally Stationary Random Environment
Probability Theory and Related Fields, Volume 143, (2009) pages 545–568.
[Hal] [Journal]On homogenization of space-time dependent and degenerate random flows II
Ann. Inst. H. Poincaré Probab. Statist., Volume 44, issue 4 (2008) pages 673-692.
[Arxiv] [Journal]Homogenization of space-time dependent and degenerate random flows
Stochastic Processes and their Applications, Volume 117, issue 10 (2007) pages 1561-1585.
[Hal] [Journal]
Coauthors
Romain Allez, Julien Barral, Guillaume Baverez, Nathanael Berestycki, Baptiste Cerclé, Laurent Chevillard, François David, François Delarue, Jean-Christophe Domenge, Bertrand Duplantier, Christophe Garban, Colin Guillarmou, Yichao Huang, Xiong Jin, Antti Kupiainen, Hubert Lacoin, Thomas Madaule, Pascal Maillard, Etienne Pardoux, Scott Sheffield, Julien Sohier, Bamba A. Sow, Vincent Vargas, Ofer Zeitouni