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UID:4f3o2o1p5rdu7e9t48panptrki@google.com
CATEGORIES:{lang hu}Sztochasztika szeminárium{/lang}{lang en}Stochastics seminar{/lang}
SUMMARY:Carsten Chong (Lausanne): Path properties of the solution to the stochastic heat equation with Lévy noise
LOCATION:Szeged, Aradi vértanúk tere 1., Riesz terem.
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. We consider sample path properties of the solution to the stochas
tic heat equation driven by a Lévy space-time white noise. When viewed as a
stochastic process in time with values in an infinite-dimensional space, t
he solution is shown to have a càdlàg modification in fractional Sobolev sp
aces of index less than -d/2. Concerning the partial regularity of the solu
tion in time or space when the other variable is fixed, we determine critic
al values for the Blumenthal-Getoor index of the Lévy noise such that noise
s with a smaller index entail continuous sample paths, while Lévy noises wi
th a larger index entail sample paths that are unbounded on any non-empty o
pen subset.
This is joint work with Thomas Humeau and Robert Dala
ng (EPFL).
DTSTAMP:20240329T012844Z
DTSTART;TZID=Europe/Budapest:20180425T140000
DTEND;TZID=Europe/Budapest:20180425T160000
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