Propagation of chaos for certain Markov processes of jump type with nonlinear generators, I
Hiroshi Tanaka
Source: Proc. Japan Acad. Volume 45, Number 6
(1969), 449-452.
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60.75
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Permanent link to this document: http://projecteuclid.org/euclid.pja/1195520722
Mathematical Reviews number (MathSciNet): MR0258145
Zentralblatt MATH identifier: 0193.46002
Digital Object Identifier: doi:10.3792/pja/1195520722
References
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Mathematical Reviews (MathSciNet): MR84985
Zentralblatt MATH: 0072.42802
[2] H. P. McKean, Jr.: A class of Markov processes associated with nonlinear parabolic equations. Proc. Nat. Acad. Science, 56, 1907-1911 (1966).
Mathematical Reviews (MathSciNet): MR221595
Zentralblatt MATH: 0149.13501
Digital Object Identifier: doi:10.1073/pnas.56.6.1907
JSTOR: links.jstor.org
[3] H. P. McKean, Jr.: An exponential formula for solving Boltzmann's equation for a Maxwellian gas. J. Combinatorial Theory, 2, 358-382 (1967).
Mathematical Reviews (MathSciNet): MR224348
Zentralblatt MATH: 0152.46501
Digital Object Identifier: doi:10.1016/S0021-9800(67)80035-8
[4] D. P. Johnson: On a class of stochastic processes and its relationship to infinite particle gases. Trans. Amer. Math. Soc, 132, 275-295 (1968).
Mathematical Reviews (MathSciNet): MR256452
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JSTOR: links.jstor.org
[5] T. Ueno: A class of Markov processes with nonlinear, bounded generators (to appear in Japanese J. Math.).
Mathematical Reviews (MathSciNet): MR260027
Zentralblatt MATH: 0185.45801
Proceedings of the Japan Academy
