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Hugo Duminil‐Copin

  1. Sharp phase transition for the random-cluster and Potts models via\n decision trees
    2017/05/08 by Hugo Duminil‐Copin, Aran Raoufi, Duminil-Copin, Hugo +3 · 9 citations
    Mathematics · #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics
  2. The self-dual point of the two-dimensional random-cluster model is critical for q≥ 1
    2010/06/25 by Vincent Beffara, Beffara, Vincent, Hugo Duminil‐Copin +1 · 8 citations
    Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Random Matrices and Applications #Theoretical and Computational Physics
  3. A new proof of the sharpness of the phase transition for Bernoulli\n percolation on mathbb Zd
    2015/02/10 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Vincent Tassion +1 · 3 citations
    Mathematics · Physics and Astronomy · #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
  4. Discontinuity of the phase transition for the planar random-cluster and Potts models with q>4
    2016/11/29 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Maxime Gagnebin +7 · 3 citations
    Mathematics · Physics and Astronomy · #60K35 #82B20 #82B23 #82B26 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
  5. Absence of infinite cluster for critical Bernoulli percolation on slabs
    2014/01/28 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Vladas Sidoravičius +3 · 2 citations
    Mathematics · #Stochastic processes and statistical mechanics #Markov Chains and Monte Carlo Methods #Random Matrices and Applications
  6. Rotational invariance in critical planar lattice models
    2020/12/21 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Karol K. Kozłowski +7 · 2 citations
    Mathematics · #Stochastic processes and statistical mechanics #Mathematical Dynamics and Fractals #Geometry and complex manifolds
  7. Existence of an unbounded nodal hypersurface for smooth Gaussian fields\n in dimension d \≥ 3
    2021/08/18 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Alejandro Rivera +5 · 2 citations
    Mathematics · #FOS: Mathematics #Geometry and complex manifolds #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics
  8. An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions d>6
    2024/10/04 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Romain Panis +1 · 5 citations
    Mathematics · Physics and Astronomy · #60K35 #82B27 #82B41 #82B41 60K35 #82B43 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
  9. Phase transition for the vacant set of random walk and random interlacements
    2023/08/15 by Hugo Duminil‐Copin, Subhajit Goswami, Duminil-Copin, Hugo +7 · 3 citations
    Mathematics · Physics and Astronomy · #05C81 #60G50 #60K35 #82B43 #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
  10. Crossing probabilities in topological rectangles for the critical planar\n FK-Ising model
    2013/12/30 by Dmitry Chelkak, Hugo Duminil‐Copin, Chelkak, Dmitry +3 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #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 #Topological and Geometric Data Analysis
  11. Exponential decay of loop lengths in the loop O(n) model with large\n n
    2014/12/29 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Ron Peled +5 · 1 citation
    Mathematics · Physics and Astronomy · #60K35 #82B05 #82B20 #82B26 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
  12. Random currents expansion of the Ising model
    2016/07/23 by Hugo Duminil‐Copin, Duminil-Copin, Hugo · 1 citation
    Physics and Astronomy · #Theoretical and Computational Physics #Opinion Dynamics and Social Influence #Quantum many-body systems
  13. Finite range interlacements and couplings
    2023/08/14 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Subhajit Goswami +7 · 2 citations
    Earth and Planetary Sciences · Mathematics · #05C81 #60G50 #60K35 #82B43 #FOS: Mathematics #FOS: Physical sciences #Geology and Paleoclimatology Research #Geometry and complex manifolds #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics
  14. A characterization of strong percolation via disconnection
    2023/08/15 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Subhajit Goswami +7 · 2 citations
    Mathematics · Physics and Astronomy · #05C81 #60G50 #60K35 #82B43 #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
  15. Law of the Iterated Logarithm for the random walk on the infinite percolation cluster
    2008/09/25 by Hugo Duminil‐Copin, Duminil-Copin, H. · 1 citation
    Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Markov Chains and Monte Carlo Methods
  16. On the six-vertex model's free energy
    2020/12/21 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Karol K. Kozłowski +7 · 1 citation
    Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
  17. Conformal invariance of double random currents II: tightness and properties in the discrete
    2021/07/27 by Hugo Duminil‐Copin, Marcin Lis, Duminil-Copin, Hugo +3 · 1 citation
    Mathematics · Physics and Astronomy · #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
  18. An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions d>4
    2024/10/04 by Hugo Duminil‐Copin, Romain Panis, Duminil-Copin, Hugo +1 · 3 citations
    Physics and Astronomy · #60K35 #82B27 #82B41 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Probability (math.PR) #Quantum many-body systems #Theoretical and Computational Physics
  19. Universality for two‐dimensional critical cellular automata
    2022/11/04 by Béla Bollobás, Hugo Duminil‐Copin, Robert Morris +1 · 1 citation
    Computer Science · Mathematics · #Cellular Automata and Applications #Stochastic processes and statistical mechanics #Markov Chains and Monte Carlo Methods
  20. New lower bounds for the (near) critical Ising and φ4 models' two-point functions
    2024/04/08 by Hugo Duminil-Copin, Hugo Duminil‐Copin, Duminil-Copin, Hugo +2 · 1 voice
    Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #math-ph #math.PR