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Mean-field integro-differential equations are studied in an abstract framework, through couplings of the corresponding stochastic processes.
Random walk with persistence and external bias
C. S. Patlak · 1953
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A class of Markov processes associated with nonlinear parabolic equations
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Chemical reaction models for non-equilibrium phase transitions
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Stochastic optimal control
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Some measure-valued Markov processes in population genetics theory
W. H. Fleming and M. Viot · 1979
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Simulation of nonhomogeneous Poisson processes by thinning
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Replica Monte Carlo simulation of spin-glasses
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Topics in propagation of chaos
A.-s. Sznitman · 1991
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Moleculare dynamics algorithm for multiple time scales: Systems with disparate mass
M. E. Thuckerman, B. J. Berne, and A Rossi · 1991
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Markov Models and Optimization
M.H.A Davis · 1993
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Stability of Markovian processes. III. Foster-Lyapunov criteria for continuous-time processes
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Branching and interacting particle systems approximations of Feynman-Kac formulae with applications to non-linear filtering
P. Del Moral and L. Miclo · 2000
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Logarithmic Sobolev inequalities for some nonlinear PDE’s
F. Malrieu · 2001
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Foundations of modern probability
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Exponential convergence for the stochastically forced Navier-Stokes equations and other partially dissipative dynamics
J. C. Mattingly · 2002
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On recent progress for the stochastic Navier Stokes equations
J. C. Mattingly · 2003
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From individual to collective behavior in bacterial chemotaxis
R. Erban and H. G. Othmer · 2004
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Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations
Y. Bakhtin and J. C. Mattingly · 2005
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Adaptive multilevel splitting for rare event analysis
F. Cérou and A. Guyader · 2007
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Probabilistic approach for granular media equations in the non-uniformly convex case
P. Cattiaux, A. Guillin, and F. Malrieu · 2008
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Long-time convergence of an adaptive biasing force method
T. Lelièvre, M. Rousset, and G. Stoltz · 2008
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D. Chafaï, F. Malrieu, and K. Paroux · 2010
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K. Pakdaman, B. Perthame, and D. Salort · 2010
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Yet another look at Harris’ ergodic theorem for Markov chains
M. Hairer and J. C. Mattingly · 2011
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Long-time behaviour of generalised Zig-Zag process
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Long-time behaviour and propagation of chaos for mean field kinetic particles
Pierre Monmarché · 2017
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Weakly self-interacting piecewise deterministic bacterial chemotaxis
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