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We consider the asymptotic behavior of the fluctuations for the empirical measures of interacting particle systems with singular kernels.
On the theory of star-streaming and the structure of the universe
J.H. Jeans · 1915
Earlier work this paper cites.
Regular points and green functions in markov processes
Mamoru Kanda · 1967
Earlier work this paper cites.
Propagation of chaos for a class of non-linear parabolic equations. 1967 stochastic differential equations (lecture series in differential equations, session 7, catholic univ., 1967) pp. 41–57 air force office sci
HP McKean Jr · 1967
Earlier work this paper cites.
Fluctuations in the kinetic theory of gases
HP McKean · 1975
Earlier work this paper cites.
The vlasov dynamics and its fluctuations in the 1/n limit of interacting classical particles
Werner Braun and K Hepp · 1977
Earlier work this paper cites.
Vlasov equations
Roland L’vovich Dobrushin · 1979
Earlier work this paper cites.
Central limit theorem for a simple diffusion model of interacting particles
Hiroshi Tanaka and Masuyuki Hitsuda · 1981
Earlier work this paper cites.
Fluctuation theory for kac’s one dimensional model of maxwellian molecules
Hiroshi Tanaka · 1982
Earlier work this paper cites.
Distribution-valued processes arising from independent brownian motions
Kiyosi Itô · 1983
Earlier work this paper cites.
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Earlier work this paper cites.
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Alain-Sol Sznitman · 1984
Earlier work this paper cites.
Limit theorems for certain diffusion processes with interaction
Hiroshi Tanaka · 1984
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Satoshi Takanobu · 1985
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Propagation of chaos for the two dimensional navier-stokes equation
Hirofumi Osada · 1986
Earlier work this paper cites.
Social influence and opinions
Noah E Friedkin and Eugene C Johnsen · 1990
Earlier work this paper cites.
Topics in propagation of chaos
Alain-Sol Sznitman · 1991
Earlier work this paper cites.
Global solutions of two-dimensional navier-stokes and euler equations
Matania Ben-Artzi · 1994
Earlier work this paper cites.
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István Gyöngy and Nicolai Krylov · 1996
Earlier work this paper cites.
Asymptotic behaviour of some interacting particle systems; mckean-vlasov and boltzmann models
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Earlier work this paper cites.
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Earlier work this paper cites.
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Lawrence C Evans · 1998
Earlier work this paper cites.
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