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Mathematics

D-Index
37
Citations
7097
World Ranking
2460
National Ranking
147

Overview

Arnaud Guillin is affiliated with the University of Clermont Auvergne in France. Their research primarily spans the field of Mathematics with a particular focus on Statistics and Probability, Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics, and Artificial Intelligence.

Their work addresses several main topics including Markov Chains and Monte Carlo Methods, Stochastic processes and statistical mechanics, Stochastic processes and financial applications, Geometric Analysis and Curvature Flows, Statistical Mechanics and Entropy, Theoretical and Computational Physics, and Point processes and geometric inequalities.

Guillin's frequent publication venues reflect their multidisciplinary engagement with mathematical and physical sciences. These include:

  • arXiv (Cornell University)
  • Journal of Statistical Physics
  • The Annals of Applied Probability
  • Earth and Planetary Science Letters
  • Journal of the European Mathematical Society

Their recent papers cover a range of topics and demonstrate collaboration across multiple scientific domains. Selected recent publications include:

  • "Discharge rate of explosive volcanic eruption controls runout distance of pyroclastic density currents," 2021, Earth and Planetary Science Letters
  • "Uniform Long-Time and Propagation of Chaos Estimates for Mean Field Kinetic Particles in Non-convex Landscapes," 2021, Journal of Statistical Physics
  • "Eruption type probability and eruption source parameters at Cotopaxi and Guagua Pichincha volcanoes (Ecuador) with uncertainty quantification," 2021, Bulletin of Volcanology
  • "Tephra Fallout Probabilistic Hazard Maps for Cotopaxi and Guagua Pichincha Volcanoes (Ecuador) With Uncertainty Quantification," 2022, Journal of Geophysical Research Solid Earth
  • "Uniform Poincaré and logarithmic Sobolev inequalities for mean field particle systems," 2022, The Annals of Applied Probability

Guillin collaborates frequently with several co-authors, indicating a strong network within their research community. Key collaborators include:

  • Pierre Monmarché
  • Manon Michel
  • Boris Nectoux
  • Nourddine Azzaoui
  • Alain Durmus

Best Publications

  • On the rate of convergence in Wasserstein distance of the empirical measure

    Nicolas Fournier;Arnaud Guillin

  • Population Monte Carlo

    Olivier Cappé;Arnaud Guillin;Jean-Michel Marin;Christian P. Robert

  • Adaptive importance sampling in general mixture classes

    Olivier Cappé;Randal Douc;Arnaud Guillin;Jean-Michel Marin

  • Quantitative Concentration Inequalities for Empirical Measures on Non-compact Spaces

    François Bolley;Arnaud Guillin;Cédric Villani

  • Transportation cost-information inequalities and applications to random dynamical systems and diffusions

    H. Djellout;A. Guillin;L. Wu

  • Rate of convergence for ergodic continuous Markov processes : Lyapunov versus Poincaré

    Dominique Bakry;Dominique Bakry;Patrick Cattiaux;Patrick Cattiaux;Arnaud Guillin;Arnaud Guillin

  • A simple proof of the Poincaré inequality for a large class of probability measures

    Dominique Bakry;Franck Barthe;Patrick Cattiaux;Arnaud Guillin

  • Probabilistic approach for granular media equations in the non uniformly convex case

    Patrick Cattiaux;Patrick Cattiaux;Arnaud Guillin;Florent Malrieu

  • Convergence of adaptive mixtures of importance sampling schemes

    R. Douc;A. Guillin;Jean-Michel Marin;C. P. Robert

  • Couplings and quantitative contraction rates for Langevin dynamics

    Andreas Eberle;Arnaud Guillin;Raphael Zimmer

  • Subgeometric rates of convergence of f-ergodic strong Markov processes

    Randal Douc;Gersende Fort;Arnaud Guillin

  • Quantitative Harris-type theorems for diffusions and McKean–Vlasov processes

    Andreas Eberle;Arnaud Guillin;Raphael Zimmer

  • Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation

    François Bolley;Arnaud Guillin;Florent Malrieu

  • Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations

    François Bolley;Ivan Gentil;Arnaud Guillin

  • Minimum variance importance sampling via Population Monte Carlo

    Randal Douc;Arnaud Guillin;Jean-Michel Marin;Christian P. Robert

  • TRANSPORTATION-INFORMATION INEQUALITIES FOR MARKOV PROCESSES

    Arnaud Guillin;Christian Léonard;Liming Wu;Liming Wu;Nian Yao

  • Degenerate Fokker–Planck equations: Bismut formula, gradient estimate and Harnack inequality

    Arnaud Guillin;Feng-Yu Wang;Feng-Yu Wang

  • Uniform Convergence to Equilibrium for Granular Media

    François Bolley;Ivan Gentil;Arnaud Guillin

  • Modified logarithmic Sobolev inequalities and transportation inequalities

    Ivan Gentil;Arnaud Guillin;Laurent Miclo

  • On quadratic transportation cost inequalities

    Patrick Cattiaux;Arnaud Guillin

Frequent Co-Authors

Feng-Yu Wang
Feng-Yu Wang Tianjin University
Christian P. Robert
Christian P. Robert Paris Dauphine University
Jean-Michel Marin
Jean-Michel Marin University of Montpellier
Olivier Cappé
Olivier Cappé PSL University
Pablo Samaniego
Pablo Samaniego Laboratoire Magmas et Volcans
Cédric Villani
Cédric Villani École Normale Supérieure de Rennes
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Walter Schachermayer
Walter Schachermayer University of Vienna
Gilles Pagès
Gilles Pagès Sorbonne University
Simon R. Harris
Simon R. Harris Wellcome Sanger Institute

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