منابع مشابه
Quantum Stochastic Convolution Cocycles Ii
Schürmann’s theory of quantum Lévy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras. Quantum stochastic convolution cocycles on a C-hyperbialgebra, which are Markov-regular, completely positive and contractive, are shown to satisfy coalgebraic quantum stochastic dif...
متن کاملCompletely positive quantum stochastic convolution cocycles and their dilations
Stochastic generators of completely positive and contractive quantum stochastic convolution cocycles on a C∗-hyperbialgebra are characterised. The characterisation is used to obtain dilations and stochastic forms of Stinespring decomposition for completely positive convolution cocycles on a C∗-bialgebra. Stochastic (or Markovian) cocycles on operator algebras are basic objects of interest in qu...
متن کاملar X iv : m at h / 06 11 49 7 v 2 [ m at h . O A ] 1 F eb 2 00 8 QUANTUM STOCHASTIC CONVOLUTION COCYCLES II
Schürmann's theory of quantum Lévy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalge-bras. Quantum stochastic convolution cocycles on a C *-hyperbialgebra, which are Markov-regular, completely positive and contractive, are shown to satisfy coalgebraic quantum stochastic ...
متن کاملar X iv : m at h / 06 11 49 7 v 1 [ m at h . O A ] 1 6 N ov 2 00 6 QUANTUM STOCHASTIC CONVOLUTION COCYCLES II
The theory of quantum stochastic convolution cocycles is extended to the topological context of compact quantum groups. Stochastic convolu-tion cocycles on a C *-hyperbialgebra, which are Markov-regular, completely positive and contractive, are shown to satisfy coalgebraic quantum stochastic differential equations with completely bounded coefficients, and the structure of their stochastic gener...
متن کاملStochastic Volterra convolution with Lévy process
In the paper we study stochastic convolution appearing in Volterra equation driven by so called Lévy process. By Lévy process we mean a process with homogeneous independent increments, continuous in probability and cadlag.
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincare (B) Probability and Statistics
سال: 2005
ISSN: 0246-0203
DOI: 10.1016/j.anihpb.2004.10.002