Infinitely divisible random probability distributions with an application to a random motion in a random environment.
Shiga, Tokuzo, Tanaka, Hiroshi (2006)
Electronic Journal of Probability [electronic only]
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Displaying similar documents to “Measure concentration for stable laws with index close to 2.”
Infinitely divisible random probability distributions with an application to a random motion in a random environment.
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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. ...