Generalized Mehler Semigroups and Catalytic Branching Processes with Immigration

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dc.creatorDawson, Donald A.
dc.creatorLi, Zenghu
dc.creatorSchmuland, Byron
dc.creatorSun, Wei
dc.date2006-06-24
dc.date.accessioned2026-07-07T07:17:39Z
dc.date.available2026-07-07T07:17:39Z
dc.descriptionSkew convolution semigroups play an important role in the study of generalized Mehler semigroups and Ornstein-Uhlenbeck processes. We give a characterization for a general skew convolution semigroup on real separable Hilbert space whose characteristic functional is not necessarily differentiable at the initial time. A connection between this subject and catalytic branching superprocesses is established through fluctuation limits, providing a rich class of non-differentiable skew convolution semigroups. Path regularity of the corresponding generalized Ornstein-Uhlenbeck processes in different topologies is also discussed.
dc.identifierhttps://arxiv.org/abs/math/0606619
dc.identifierhttp://arxiv.org/abs/math/0606619
dc.identifierPotential Analysis 21 (2004), 1: 75-97
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114018
dc.subjectProbability
dc.titleGeneralized Mehler Semigroups and Catalytic Branching Processes with Immigration
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