Occupation times of branching systems with initial inhomogeneous Poisson states and related superprocesses.
Bojdecki, Tomasz, Gorostiza, Luis G., Talarczyk, Anna (2009)
Electronic Journal of Probability [electronic only]
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Bojdecki, Tomasz, Gorostiza, Luis G., Talarczyk, Anna (2009)
Electronic Journal of Probability [electronic only]
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Dawson, Donald A., Etheridge, Alison M., Fleischmann, Klaus, Mytnik, Leonid, Perkins, Edwin A., Xiong, Jie (2002)
Electronic Journal of Probability [electronic only]
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Mytnik, Leonid, Xiong, Jie (2007)
Electronic Journal of Probability [electronic only]
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Fleischmann, Klaus, Mytnik, Leonid (2003)
Electronic Journal of Probability [electronic only]
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Xiong, Jie (2004)
Electronic Communications in Probability [electronic only]
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Lambert, Amaury (2007)
Electronic Journal of Probability [electronic only]
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Bertoin, Jean (1997)
Electronic Journal of Probability [electronic only]
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Champagnat, Nicolas, Roelly, Sylvie (2008)
Electronic Journal of Probability [electronic only]
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Kondo, Hitoshi, Maejima, Makoto, Sato, Ken-Iti (2006)
Electronic Communications in Probability [electronic only]
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Dawson, Donald A., Li, Zenghu, Wang, Hao (2001)
Electronic Journal of Probability [electronic only]
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François Bolley (2010)
ESAIM: Probability and Statistics
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We consider the approximation of a mean field stochastic process by a large interacting particle system. We derive non-asymptotic large deviation bounds measuring the concentration of the empirical measure of the paths of the particles around the law of the process. The method is based on a coupling argument, strong integrability estimates on the paths in Hölder norm, and a general concentration result for the empirical measure of identically distributed independent paths. ...