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On stopping Fock-space processes

Research output: Working paper

Published
Publication date20/11/2013
Number of pages40
<mark>Original language</mark>English

Abstract

We consider the theory of stopping processes within the framework of Hudson-Parthasarathy quantum stochastic calculus, for both identity-adapted and vacuum-adapted processes. This provides significant new insight into Coquio’s method of stopping (J. Funct. Anal. 238:149-180, 2006); with vacuum adaptedness, certain results, including the proof of the optional-sampling theorem, take a more natural form.