On Markovian cocycle perturbations in classical and quantum probability.
Amosov, G.G. (2003)
International Journal of Mathematics and Mathematical Sciences
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Amosov, G.G. (2003)
International Journal of Mathematics and Mathematical Sciences
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Maria Elvira Mancino (1994)
Rendiconti del Seminario Matematico della Università di Padova
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Kalyanapuram Rangachari Parthasarathy (1991)
Séminaire de probabilités de Strasbourg
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J. Martin Lindsay, Adam G. Skalski (2005)
Annales de l'I.H.P. Probabilités et statistiques
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J. T. Lewis, L. C. Thomas (1975)
Annales de l'I.H.P. Physique théorique
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Kalyanapuram Rangachari Parthasarathy, Kalyan B. Sinha (1990)
Séminaire de probabilités de Strasbourg
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Clément Pellegrini (2010)
Annales de l'I.H.P. Probabilités et statistiques
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are solutions of stochastic differential equations obtained when describing the random phenomena associated to quantum continuous measurement of open quantum system. These equations, also called or , are usually of two different types: diffusive and of Poisson-type. In this article, we consider more advanced models in which jump–diffusion equations appear. These equations are obtained as a continuous time limit of martingale problems associated to classical Markov chains...
John Gough (2006)
Banach Center Publications
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We present quantum stochastic calculus in terms of diagrams taking weights in the algebra of observables of some quantum system. In particular, we note the absence of non-time-consecutive Goldstone diagrams. We review recent results in Markovian limits in these terms.