On stopping Fock-space processes

Belton, Alexander C. R. (2013) On stopping Fock-space processes. Working Paper. UNSPECIFIED.

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.