Luc Rey-Bellet

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Strategic Decompositions of Normal Form Games: Zero-sum Games and Potential Games

Sung-Ha Hwang, Luc Rey-Bellet, L. Rey-Bellet, 2016, Games Econ. Behav..

Numerical and Statistical Methods for the Coarse-Graining of Many-Particle Stochastic Systems

Petr Plechác, Markos A. Katsoulakis, Luc Rey-Bellet, 2008, J. Sci. Comput..

Uncertainty Quantification for Markov Processes via Variational Principles and Functional Inequalities

Luc Rey-Bellet, Jeremiah Birrell, 2020, SIAM/ASA J. Uncertain. Quantification.

Coarse-graining schemes for stochastic lattice systems with short and long-range interactions

Petr Plechác, Markos A. Katsoulakis, Luc Rey-Bellet, 2010, Math. Comput..

Improving the Convergence of Reversible Samplers

Konstantinos Spiliopoulos, Luc Rey-Bellet, 2016 .

Decompositions of two player games: potential, zero-sum, and stable games pdf

Sung-Ha Hwang, Luc Rey-Bellet, L. Rey-Bellet, 2011, ArXiv.

Robustness of Dynamical Quantities of Interest via Goal-Oriented Information Theory pdf

Luc Rey-Bellet, Jeremiah Birrell, Markos A. Katsoulakis, 2019, ArXiv.

Simple Characterizations of Potential Games and Zero-sum Equivalent Games

Sung-Ha Hwang, Luc Rey-Bellet, L. Rey-Bellet, 2020 .

Multibody Interactions in Coarse-Graining Schemes for Extended Systems

Petr Plechác, Markos A. Katsoulakis, Luc Rey-Bellet, 2008, SIAM J. Sci. Comput..

(f, Γ)-Divergences: Interpolating between f-Divergences and Integral Probability Metrics pdf

Paul Dupuis, Yannis Pantazis, Luc Rey-Bellet, 2020, ArXiv.

Simple Characterizations of Potential Games and Zero-sum Games pdf

Sung-Ha Hwang, Luc Rey-Bellet, 2016, ArXiv.

Information Criteria for quantifying loss of reversibility in parallelized KMC

Markos A. Katsoulakis, Luc Rey-Bellet, Konstantinos Gourgoulias, 2016, J. Comput. Phys..

Quantification of Model Uncertainty on Path-Space via Goal-Oriented Relative Entropy

Markos A. Katsoulakis, Luc Rey-Bellet, Jeremiah Birrell, 2019 .

Variational Representations and Neural Network Estimation of Rényi Divergences

Paul Dupuis, Markos A. Katsoulakis, Luc Rey-Bellet, 2020, SIAM J. Math. Data Sci..

How Biased Is Your Model? Concentration Inequalities, Information and Model Bias

Jie Wang, Markos A. Katsoulakis, Luc Rey-Bellet, 2017, IEEE Transactions on Information Theory.

Information metrics for long-time errors in splitting schemes for stochastic dynamics and parallel KMC

Luc Rey-Bellet, Markos A. Katsoulakis, Konstantinos Gourgoulias, 2015 .

$(f,\Gamma)$-Divergences: Interpolating between $f$-Divergences and Integral Probability Metrics

Paul Dupuis, Yannis Pantazis, Markos A. Katsoulakis, 2020 .

Information Metrics For Long-Time Errors in Splitting Schemes For Stochastic Dynamics and Parallel Kinetic Monte Carlo

Markos A. Katsoulakis, Luc Rey-Bellet, Konstantinos Gourgoulias, 2016, SIAM J. Sci. Comput..

A Variational Formula for Rényi Divergences pdf

Paul Dupuis, Jie Wang, Luc Rey-Bellet, 2020, ArXiv.

Mathematical Foundations for Uncertainty Quantification in Materials Design. Final Report

Markos A. Katsoulakis, Luc Rey-Bellet, 2018 .

Scalable information inequalities for uncertainty quantification pdf

Jie Wang, Markos A. Katsoulakis, Luc Rey-Bellet, 2016, J. Comput. Phys..

Positive feedback in coordination games: stochastic evolutionary dynamics and the logit choice rule pdf

Sung-Ha Hwang, Luc Rey-Bellet, L. Rey-Bellet, 2017, Games Econ. Behav..

Model Uncertainty and Correctability for Directed Graphical Models pdf

Jinchao Feng, Markos A. Katsoulakis, Luc Rey-Bellet, 2021, SIAM/ASA J. Uncertain. Quantification.

COARSE-GRAINING SCHEMES AND A POSTERIORI ERROR ESTIMATES FOR STOCHASTIC LATTICE SYSTEMS

Markos A. Katsoulakis, Luc Rey-Bellet, Dimitrios K. Tsagkarogiannis, 2006, math/0608007.

Mathematical strategies in the coarse-graining of extensive systems: Error quantification and adaptivity

Markos A. Katsoulakis, Luc Rey-Bellet, Petr Plecháč, 2008 .

Exponential Convergence to Non-Equilibrium Stationary States in Classical Statistical Mechanics

Luc Rey-Bellet, Lawrence E. Thomas, 2002 .

Open classical systems

Luc Rey-Bellet, L. Rey-Bellet, 2006 .

Low-temperature phase diagrams of quantum lattice systems. II, Convergent perturbation expansions and stability in systems with infinite degeneracy

Nilanjana Datta, Luc Rey-Bellet, Jürg Fröhlich, 1997 .

Large deviations in non-uniformly hyperbolic dynamical systems

Luc Rey-Bellet, Lai-Sang Young, L. Young, 2008, Ergodic Theory and Dynamical Systems.

Ergodic properties of Markov processes

Luc Rey-Bellet, L. Rey-Bellet, 2006 .

Uncertainty quantification for generalized Langevin dynamics.

Luc Rey-Bellet, Markos A Katsoulakis, L. Rey-Bellet, 2016, The Journal of chemical physics.

Deterministic Equations for Stochastic Spatial Evolutionary Games

Sung-Ha Hwang, Luc Rey-Bellet, Markos Katsoulakis, 2010, 1007.0723.

Sensitivity analysis for rare events based on Rényi divergence

Yannis Pantazis, Paul Dupuis, Markos A. Katsoulakis, 2018, The Annals of Applied Probability.

Asymptotic Behavior of Thermal Nonequilibrium Steady States for a Driven Chain of Anharmonic Oscillators

Luc Rey-Bellet, Lawrence E. Thomas, L. Thomas, 2000, math-ph/0001016.