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Book
ISBN: 1000007097 3866441762 Year: 2007 Publisher: KIT Scientific Publishing
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Zunächst wird das Konzept der Stoppmengen ausführlich vorgestellt. Unter Einbeziehung Palmscher Maße lassen sich nun allgemeine Resultate zu Stoppmengen und Poissonprozessen beweisen. Mittels dieser Ergebnisse werden Verteilungsaussagen zu den sogenannten typischen k-Seiten eines Poisson-Voronoi-Mosaiks hergeleitet.
Gammaverteilung --- Poisson-Prozess --- Poisson-Voronoi-Mosaik --- Stochastischer Prozess --- Stoppmenge --- Stochastische Geometrie
Book
ISBN: 1000006936 3866441444 Year: 2007 Publisher: KIT Scientific Publishing
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In this work we analzyse the Stochastic Cauchy Problem driven by a cylindrical Wiener process. Given the existence of solutions we show regularity of the paths of the solution. In dependence on properties of the operators in the equation or on geometrical properties of the underlying Banachspace we derive space time regularity results for the paths of the solution.
Partielle Differentialgl --- Stochastischer Prozess --- Banach-Raum --- Stark stetige Halbgruppe --- Regularität --- Stochastisches Integral
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