Rémi Rhodes
Publications
Publications
|
|
Compactified Imaginary Liouville TheoryCommun.Am.Math.Soc., 2025, 5 (12), pp.571-694. ⟨10.1090/cams/54⟩ |
|
|
Segal's axioms and bootstrap for Liouville TheoryAnnals of Mathematics, In press |
|
|
CONFORMAL BOOTSTRAP IN LIOUVILLE THEORYActa Mathematica, 2024, 233 (1), pp.33-194. ⟨10.4310/acta.2024.v233.n1.a2⟩ |
|
|
THE VIRASORO STRUCTURE AND THE SCATTERING MATRIX FOR LIOUVILLE CONFORMAL FIELD THEORYProbability and Mathematical Physics, In press |
|
|
Path integral for quantum Mabuchi K-energyDuke Mathematical Journal, 2022, 171 (3), pp.483-545. ⟨10.1215/00127094-2021-0007⟩ |
|
|
Path integral for quantum Mabuchi K-energyDuke Mathematical Journal, In press, ⟨10.1215/00127094-2021-0007⟩ |
|
|
The semiclassical limit of Liouville conformal field theoryAnnales de la Faculté des Sciences de Toulouse. Mathématiques., In press, ⟨10.5802/afst.1713⟩ |
|
|
A PROBABILISTIC APPROACH OF ULTRAVIOLET RENORMALISATION IN THE BOUNDARY SINE-GORDON MODELProbability Theory and Related Fields, In press, 185 (1-2), pp.1-40. ⟨10.1007/s00440-022-01174-5⟩ |
|
|
Integrability Of Liouville Theory: Proof Of The Dozz FormulaAnnals of Mathematics, 2020, 191 (1), pp.81-166 |
|
|
A probabilistic approach of Liouville field theoryComptes Rendus. Physique, 2020, 21 (6), pp.561-569. ⟨10.5802/crphys.43⟩ |
|
|
Integrability of Liouville theory: proof of the DOZZ FormulaAnnals of Mathematics, 2020 |
|
|
The tail expansion of gaussian multiplicative chaos and the Liouville reflection coefficientThe Annals of Probability, 2019, 47 (5), pp.3082-3107 |
|
|
POLYAKOV'S FORMULATION OF 2d BOSONIC STRING THEORYPublications mathematiques de l' IHES, 2019, 130 (1), pp.111-185 |
|
|
On a Skewed and Multifractal Unidimensional Random Field, as a Probabilistic Representation of Kolmogorov’s Views on TurbulenceAnnales Henri Poincaré, 2019, 20 (11), pp.3693-3741. ⟨10.1007/s00023-019-00842-y⟩ |
|
|
Local Conformal Structure of Liouville Quantum GravityCommunications in Mathematical Physics, 2018, 371 (3), pp.1005-1069 |
|
|
Liouville Quantum Gravity on the unit diskAnnales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2018, ⟨10.1214/17-AIHP852⟩ |
|
|
The DOZZ Formula from the Path IntegralJournal of High Energy Physics, 2018, 05, pp.094. ⟨10.1007/JHEP05(2018)094⟩ |
|
|
Renormalizability of Liouville quantum field theory at the Seiberg boundElectronic Journal of Probability, 2017 |
|
|
Semiclassical limit of Liouville Field TheoryJournal of Functional Analysis, 2017, 273 (3), pp.875-916. ⟨10.1016/j.jfa.2017.04.012⟩ |
|
|
Liouville Brownian motionThe Annals of Probability, 2016, 44 (4) |
|
|
KPZ formula derived from Liouville heat kernelJournal of the London Mathematical Society, 2016, 94 (1), pp.186-208 |
|
|
Liouville Quantum Gravity on the Riemann sphereCommunications in Mathematical Physics, 2016, 342 (3), pp.869-907 |
|
|
Liouville Quantum Gravity on the complex toriJournal of Mathematical Physics, 2016, 57 (2 ) |
|
|
Liouville Quantum Gravity on the Riemann sphereCommunications in Mathematical Physics, 2016, 342, pp.869 - 907. ⟨10.1007/s00220-016-2572-4⟩ |
|
|
Liouville heat kernel: regularity and boundsAnnales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2016, 52 (3), ⟨10.1214/15-AIHP676⟩ |
|
|
Glassy phase and freezing of log-correlated Gaussian potentialsThe Annals of Applied Probability, 2016, 26 (2) |
|
|
Complex Gaussian multiplicative chaosCommunications in Mathematical Physics, 2015, 337 (2), pp.569-632 |
|
|
Liouville Brownian motion at criticalityPotential Analysis, 2015, 43 (2), pp.149-197 |
|
|
Levy multiplicative chaos and star scale invariant random measuresThe Annals of Probability, 2014, 42 (2), pp.689-724 |
|
|
Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formulaCommunications in Mathematical Physics, 2014, 330 (1), pp.283-330 |
|
|
On the heat kernel and the Dirichlet form of the Liouville Brownian motionElectronic Journal of Probability, 2014, 19, pp.1-25 |
|
|
Spectral dimension of Liouville quantum gravityAnnales de l'Institut Henri Poincaré, 2014, 15 |
|
|
Gaussian multiplicative chaos and KPZ dualityCommunications in Mathematical Physics, 2013, 323 (2), pp.451-485 |
|
|
Gaussian multiplicative Chaos for symmetric isotropic matricesJournal of Mathematical Physics, 2013, 150 (4) |
|
|
Lognormal scale invariant random measuresProbability Theory and Related Fields, 2012, 155 (3-4), pp.751-788 |
|
|
Limiting laws of supercritical branching random walksComptes rendus de l'Académie des sciences. Série I, Mathématique, 2012 |
|
|
Optimal transport for multifractal random measures. Applications.Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2011, pp.version électronique |
|
|
Critical homogenization of Levy process driven SDEs in random mediumStochastic Analysis and Applications, 2011, 29 (5), pp.838-859 |
|
|
Stochastic Homogenization of Reflected Diffusion ProcessesElectronic Journal of Probability, 2010, 15, pp.989-1023 |
|
|
Stochastic Homogenization of Quasilinear PDEs with a Spatial DegeneracyAsymptotic Analysis, 2009, pp.61--90 |
Diffusion in a locally stationary random environmentProbability Theory and Related Fields, 2009, 143 (4), pp.545-568 |
|
|
|
Scaling limits for symmetric Itô-Lévy processes in random mediumStochastic Processes and their Applications, 2009, 119 (12), pp.4004-4033 |
|
|
Homogenization of periodic semilinear parabolic degenerate PDEsAnnales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2008, 26 (3), pp.979-998. ⟨10.1016/j.anihpc.2008.09.001⟩ |
On homogenization of space-time dependent and degenerate random flows. IIAnnales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2008, 44 (4), pp.673-692 |
|
|
Log-correlated Gaussian fields: an overviewGeometry, Analysis and Probability, Progress in Mathematics, In Honor of Jean-Michel Bismut, 310, , 2014, 978-3-319-49636-8. ⟨10.1007/978-3-319-49638-2_9⟩ |