Super-Brownian motion with reflecting historical paths

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dc.creatorBurdzy, Krzysztof
dc.creatorGall, Jean-Francois Le
dc.date2000-03-09
dc.date.accessioned2026-07-07T04:34:15Z
dc.date.available2026-07-07T04:34:15Z
dc.descriptionWe consider super-Brownian motion whose historical paths reflect from each other, unlike those of the usual historical super-Brownian motion. We prove tightness for the family of distributions corresponding to a sequence of discrete approximations but we leave the problem of uniqueness of the limit open. We prove a few results about path behavior for processes under any limit distribution. In particular, we show that for any $γ>0$, a "typical" increment of a reflecting historical path over a small time interval $Δt$ is not greater than $(Δt)^{3/4 - γ}$.
dc.description2 figures
dc.identifierhttps://arxiv.org/abs/math/0003056
dc.identifierhttp://arxiv.org/abs/math/0003056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58831
dc.subjectProbability
dc.subject60J65;60J60;60J80
dc.titleSuper-Brownian motion with reflecting historical paths
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