On the Lévy-khinchin Decomposition of Generating Functionals
نویسندگان
چکیده
We study several sufficient conditions for the existence of a LévyKhinchin decomposition of generating functionals on unital involutive algebras with a fixed character. We show that none of these conditions are equivalent and we show that such a decomposition does not always exist.
منابع مشابه
On the Lévy-khinchin Decomposition of Generating Functionals
We study several sufficient conditions for the existence of a LévyKhinchin decomposition of generating functionals on unital involutive algebras with a fixed character. We show that none of these conditions are equivalent and we show that such a decomposition does not always exist.
متن کاملC*-algebras on r-discrete Abelian Groupoids
We study certain function algebras and their operator algebra completions on r-discrete abelian groupoids, the corresponding conditional expectations, maximal abelian subalgebras (masa) and eigen-functionals. We give a semidirect product decomposition for an abelian groupoid. This is done through a matched pair and leads to a C*-diagonal (for a special case). We use this decomposition to study ...
متن کاملA uniqueness theorem for entanglement measures
We obtain a mathematically simple characterization of all functionals coinciding with the von Neumann reduced entropy on pure states based on the Khinchin-Faddeev axiomatization of Shannon entropy and give a physical interpretation of the axioms in terms of entanglement.
متن کاملTail Probabilities of Subadditive Functionals of Lévy Processes1 by Michael Braverman2, Thomas Mikosch
We study the tail behavior of the distribution of certain subadditive functionals acting on the sample paths of Lévy processes. The functionals we consider have, roughly speaking, the following property: only the points of the process that lie above a certain curve contribute to the value of the functional. Our assumptions will make sure that the process ends up eventually below the curve. Our ...
متن کاملRobust stability of fuzzy Markov type Cohen-Grossberg neural networks by delay decomposition approach
In this paper, we investigate the delay-dependent robust stability of fuzzy Cohen-Grossberg neural networks with Markovian jumping parameter and mixed time varying delays by delay decomposition method. A new Lyapunov-Krasovskii functional (LKF) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...
متن کامل