Topics in propagation of chaos

References

• On asymptotic behaviors of the solution of a nonlinear diffusion equationYozo Tamura — 1984
• Propagation of chaos for Burgers' equationP. Calderoni, Mario Pulvirenti — 1983
• Arbres et processus de Galton-WatsonJ. Neveu — 1986
• A class of Markov processes with non-linear, bounded generatorsTadashi UENO — 1969
• An inequality for certain functional of multidimensional probability distributionsHiroshi Murata, Hiroshi Tanaka — 1974
• Gibbs measures for mean field potentialsShigeo Kusuoka, Yozo Tamura — 1984
• Central limit theorem for a simple diffusion model of interacting particlesHiroshi Tanaka, Masuyuki Hitsuda — 1981
• The diffusion approximation of the spatially homogeneous Boltzmann equationTadahisa Funaki — 1985
• Derivation of the Boltzmann equation from particle dynamicsKōhei Uchiyama — 1988
• Cutoff-type Boltzmann equations: Convergence of the solutionRené Ferland, Gaston Giroux — 1987
• Critical dynamics and fluctuations for a mean-field model of cooperative behaviorDonald A. Dawson — 1983
• Smoluchowski's theory of coagulation in colloids holds rigorously in the Boltzmann-Grad-limitReinhard Lang, Nguyen Xuan Xanh — 1980
• The grad limit for a system of soft spheresCarlo Cercignani — 1983
• A Path Space and the Propagation of Chaos for a Boltzmann's Gas ModelTadashi UENO — 1971
• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gasH. P. McKean — 1966
• Propagation of chaos for a system of annihilating Brownian spheresAlain‐Sol Sznitman — 1987
• Probabilistic treatment of the Boltzmann equation of Maxwellian moleculesHiroshi Tanaka — 1978
• Fluctuations in the kinetic theory of gasesH. P. McKean — 1975
• A law of large numbers for moderately interacting diffusion processesKarl Oelschläger — 1985
• Central limit theorem for a system of Markovian particles with mean field interactionsTokuzo Shiga, Hiroshi Tanaka — 1985

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• Modélisation de la dépendance et simulation de processus en financeMohamed Ali Sbai — 2009
• ASYMPTOTICS AND HIGH DIMENSIONAL APPROXIMATIONS FOR NONLINEAR PSEUDODIFFERENTIAL EQUATIONS INVOLVING LÉVY GENERATORSPiotr Biler, Grzegorz Karch, Wojbor A. Woyczyński — 2001
• Modèles particulaires stochastiques pour des problèmes d'évolution adaptative et pour l'approximation de solutions statistiquesViet Chi Tran — 2006
• Quelques problèmes d'inspiration physique en théorie des probabilitésRémi Peyre — 2010
• Comparison of modes of convergence in a particle system related to the Boltzmann equationM. Petersson — 2010
• Processus auto-stabilisants dans un paysage multi-puitsJulian Tugaut — 2010
• Some fluctuation results for weakly interacting multi-type particle systemsAmarjit Budhiraja, Ruoyu Wu — 2015
• Applications du transport optimal à des problèmes de limites de champ moyenFrançois Bolley — 2005
• Central limit results for jump diffusions with mean field interaction and a common factorAmarjit Budhiraja, Elisabeti Kira, Subhamay Saha — 2014
• Long time behaviour and particle approximation of a generalized Vlasov dynamicManh Hong Duong — 2015
• About Fokker-Planck equation with measurable coefficients and applications to the fast diffusion equationNadia Belaribi, Francesco Russo — 2011
• A Doob h-Transform of the Gross–Pitaevskii HamiltonianSergio Albeverio, Stefania Ugolini — 2015
• Long time behavior of Markov processes and beyondFlorian Bouguet, Florent Malrieu, Fabien Panloup — 2015
• Fundamentals of the Backoff Process in 802.11: Dichotomy of the AggregationJeong-woo Cho, Yuming Jiang — 2009
• A general characterization of the mean field limit for stochastic differential gamesDaniel Lacker — 2014
• Théorèmes asymptotiques pour les équations de Boltzmann et de LandauKléber Carrapatoso — 2013

Related papers

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