Stopping non-commutative processes

Author:

Barnett Chris,Lyons Terry

Abstract

Stopping times are a powerful tool in the theory of stochastic processes, so it is natural to ask whether they have a counterpart in the theory of non-commutative processes. This paper is a part answer to that question. We show that the ‘formalism’ of stopping times carries over to a non-commutative context and prove an Optional Stopping Theorem.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 15 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Stopping Fock-Space Processes;Journal of Theoretical Probability;2018-08-09

2. Quantum stopping times stochastic integral in the interacting Fock space;Journal of Mathematical Physics;2015-08

3. Quantum Stochastics;CA ST PR MA;2015

4. STOPPING THE CCR FLOW AND ITS ISOMETRIC COCYCLES;The Quarterly Journal of Mathematics;2014-02-05

5. Quantum Stochastic Integrals as Operators;International Journal of Theoretical Physics;2010-05-04

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