Rodriguez, Pierre-François
- A 0-1 law for the massive Gaussian free field
2015/05/29 by Rodriguez, Pierre-François · 2 citations
#60G15 #60G60 #60K35 #82B26 #82B27 #82B41 #82B43 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Critical one-arm probability for the metric Gaussian free field in low dimensions
2024/05/27 by Alexander Drewitz, Drewitz, Alexander, Alexis Prévost +3 · 4 citations
Mathematics · Economics, Econometrics and Finance · #Stochastic processes and statistical mechanics #Geometry and complex manifolds #Financial Risk and Volatility Modeling
- 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
- Phase transition for the vacant set of random walk and random interlacements
2023/08/15 by Hugo Duminil‐Copin, Duminil-Copin, Hugo, Subhajit Goswami +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
- 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
- A characterization of strong percolation via disconnection
2023/08/15 by Hugo Duminil‐Copin, Subhajit Goswami, Duminil-Copin, Hugo +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
- Geometry of Gaussian free field sign clusters and random interlacements
2018/11/14 by Alexander Drewitz, Alexis Prévost, Drewitz, Alexander +3 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #60G15 #60G60 #60K35 #82B43 #Complex Network Analysis Techniques #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Topological and Geometric Data Analysis
- Arm exponent for the Gaussian free field on metric graphs in intermediate dimensions
2023/12/15 by Drewitz, Alexander, Prévost, Alexis, Rodriguez, Pierre-François · 2 citations
#60G15 #60J45 #60K35 #82B43 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Cluster volumes for the Gaussian free field on metric graphs
2024/12/09 by Drewitz, Alexander, Prévost, Alexis, Rodriguez, Pierre-François · 2 citations
#60G15 #60J45 #60K35 #82B43 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Strong local uniqueness for the vacant set of random interlacements
2025/03/18 by Goswami, Subhajit, Rodriguez, Pierre-François, Shulzhenko, Yuriy · 3 citations
#60G50 #60K35 #82B43 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Universality classes for percolation models with long-range correlations
2024/03/27 by Christopher Chalhoub, Chalhoub, Christopher, Alexander Drewitz +5 · 1 citation
Mathematics · Computer Science · #Stochastic processes and statistical mechanics #Bayesian Methods and Mixture Models #advanced mathematical theories