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Rémi Rhodes

  1. Gaussian multiplicative chaos and applications: a review
    2013/05/27 by Rémi Rhodes, Rhodes, Rémi, Vincent Vargas +1 · 23 citations
    Mathematics · Physics and Astronomy · Economics, Econometrics and Finance · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Complex Systems and Time Series Analysis
  2. 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
  3. 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
  4. 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
  5. Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formula
    2012/12/03 by Bertrand Duplantier, Duplantier, Bertrand, Rémi Rhodes +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
  6. Path integral for quantum Mabuchi K-energy
    2018/07/04 by Hubert Lacoin, Rémi Rhodes, Lacoin, H. +3 · 2 citations
    Mathematics · #60D05 #81T20 #81T40 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #advanced mathematical theories
  7. 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
  8. 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
  9. The Tail expansion of Gaussian multiplicative chaos and the Liouville reflection coefficient
    2017/10/05 by Rémi Rhodes, Rhodes, Rémi, Vincent Vargas +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
  10. Probabilistic construction of non compactified imaginary Liouville field theory
    2025/05/14 by Romain Usciati, Colin Guillarmou, Usciati, Romain +5 · 4 citations
    Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
  11. Semigroup of annuli in Liouville CFT
    2024/03/16 by Guillaume Baverez, Colin Guillarmou, Baverez, Guillaume +6 · 2 citations
    Computer Science · #semigroups and automata theory
  12. 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
  13. 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
  14. Conformal bootstrap in Liouville theory
    2024/01/01 by Colin Guillarmou, Antti Kupiainen, A. Kupiainen +2 · 2 citations
    Mathematics · Computer Science · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis