Abstract
The notion of wave map, inspired from Scattering Theory, was introduced in [7] within the framework of Quantum Dynamical Semigroups. The current article is addressed to classical probabilists, building up the wave map for two (classical) Feller semigroups which are recurrent in the sense of Harris and obtaining an interesting relationship with the concept of contiguity.
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References
R. M. Blumenthal and R. K. Getoor. Markov Processes and Potential Theory,Academic Press, New York, 1968.
I. Karatzas and S. E. Shreve. Brownian Motion and Stochastic Calculus. 2nd. edition, Springer-Verlag, New York, 1991.
K. Kraus. General states changes in quantum theory, Ann. Phys. 64 (1970), 311–335.
H. Kunita. Stochastic Flows and Stochastic Differential Equations, volume 24 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, UK, 1997.
J. Neveu. Martingales temps discret,Masson et Cie., Paris, 1972.
M. Pollack and D. Siegmund. A diffusion process and its applications to detecting a change in the drift of a Brownian motion, Biometrika 72 (1985), 267–280.
R. Rebolledo. Limit properties for quantum dynamical semigroups inspired from scattering theory, Quantum Probability Communications,to appear.
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Rebolledo, R. (2000). The Wave Map of Feller Semigroups. In: Rebolledo, R. (eds) Stochastic Analysis and Mathematical Physics. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1372-7_9
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DOI: https://doi.org/10.1007/978-1-4612-1372-7_9
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7118-5
Online ISBN: 978-1-4612-1372-7
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