Rhodes, Rémi
- Gaussian multiplicative chaos and applications: a review
2013/05/27 by Rémi Rhodes, Vincent Vargas, Rhodes, Rémi +1 · 25 citations
Mathematics · Physics and Astronomy · Economics, Econometrics and Finance · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Complex Systems and Time Series Analysis
- Integrability of Liouville theory: proof of the DOZZ Formula
2017/07/27 by A. Kupiainen, Rémi Rhodes, Kupiainen, Antti +2 · 13 citations
Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Random Matrices and Applications #Stochastic processes and statistical mechanics
- Liouville Quantum Gravity on the Riemann sphere
2014/10/27 by François David, A. Kupiainen, David, François +4 · 10 citations
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Advanced Operator Algebra Research
- Conformal bootstrap in Liouville Theory
2020/01/01 by Colin Guillarmou, Guillarmou, Colin, A. Kupiainen +5 · 7 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #17B68 (Secondary) #37K15 #60D99 #81T40 (Primary) 47D08 #81U20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Algebra (math.QA) #Random Matrices and Applications #Representation Theory (math.RT) #Spectral Theory (math.SP) #Stochastic processes and financial applications #Theoretical and Computational Physics
- Liouville Quantum Gravity on the unit disk
2015/02/15 by Huang, Yichao, Rhodes, Rémi, Vargas, Vincent · 6 citations
#30F10 #60D05 #81T20 #81T40 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formula
2012/12/03 by Bertrand Duplantier, Rémi Rhodes, Duplantier, Bertrand +5 · 4 citations
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- KPZ formula for log-infinitely divisible multifractal random measures
2008/07/07 by Rhodes, Rémi, Vargas, Vincent · 2 citations
#28A78 #28A80 #60G57 #FOS: Mathematics #Probability (math.PR)
- Local Conformal Structure of Liouville Quantum Gravity
2015/12/06 by Kupiainen, Antti, Rhodes, Rémi, Vargas, Vincent · 3 citations
#60D05 #81T20 #81T40 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Segal's axioms and bootstrap for Liouville Theory
2021/12/29 by Guillarmou, Colin, Kupiainen, Antti, Rhodes, Rémi +1 · 4 citations
#17B68 (Secondary) #60D05 #81R10 #81T40 (Primary) 17B69 #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Representation Theory (math.RT)
- Complex Gaussian multiplicative chaos
2013/07/23 by Lacoin, Hubert, Rhodes, Rémi, Vargas, Vincent · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- The semiclassical limit of Liouville conformal field theory
2019/03/21 by Lacoin, Hubert, Rhodes, Rémi, Vargas, Vincent · 3 citations
#60D05 #81T20 #81T40 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- On a skewed and multifractal uni-dimensional random field, as a probabilistic representation of Kolmogorov's views on turbulence
2017/12/01 by Laurent Chevillard, Chevillard, Laurent, Christophe Garban +5 · 2 citations
Economics, Econometrics and Finance · Environmental Science · Physics and Astronomy · #60K40 #76F30 #76F55 #Complex Systems and Time Series Analysis #FOS: Mathematics #FOS: Physical sciences #Financial Risk and Volatility Modeling #Hydrology and Drought Analysis #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics and Entropy
- Review on the probabilistic construction and Conformal bootstrap in Liouville Theory
2024/03/19 by Guillarmou, Colin, Kupiainen, Antti, Rhodes, Rémi · 4 citations
#17B68 (Secondary) #60D05 #81R10 #81T40 (Primary) 17B69 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Liouville Brownian motion at criticality
2013/11/22 by Rémi Rhodes, Vincent Vargas, Rhodes, Rémi +1 · 1 citation
Mathematics · Physics and Astronomy · #60J65 #81T40 #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Glassy phase and freezing of log-correlated Gaussian potentials
2013/10/21 by Madaule, Thomas, Rhodes, Rémi, Vargas, Vincent · 1 citation
#60F17 #60G57 #FOS: Mathematics #Probability (math.PR)
- The Tail expansion of Gaussian multiplicative chaos and the Liouville reflection coefficient
2017/10/05 by Rémi Rhodes, Vincent Vargas, Rhodes, Rémi +1 · 2 citations
Mathematics · Physics and Astronomy · #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Quantum chaos and dynamical systems #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Conformal Bootstrap for surfaces with boundary in Liouville CFT. Part 1: Segal axioms
2024/08/23 by Guillarmou, Colin, Rhodes, Rémi, Wu, Baojun · 3 citations
#17B68 (Secondary) #60D05 #81R10 #81T40 (Primary) 17B69 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Semigroup of annuli in Liouville CFT
2024/03/16 by Guillaume Baverez, Baverez, Guillaume, Colin Guillarmou +6 · 2 citations
Computer Science · #semigroups and automata theory
- A probabilistic approach of ultraviolet renormalisation in the boundary Sine-Gordon model
2019/03/04 by Hubert Lacoin, Rémi Rhodes, Lacoin, Hubert +3 · 1 citation
Mathematics · Physics and Astronomy · #82B21 #82B28 #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Compactified Imaginary Liouville Theory
2023/10/27 by Colin Guillarmou, Guillarmou, Colin, A. Kupiainen +3 · 1 citation
Mathematics · Physics and Astronomy · #60D05 #81T40 #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics