zbMATH — the first resource for mathematics

Local times and quantum fields. (English) Zbl 0554.60058
Stochastic processes, Semin. Gainesville/Fla. 1983, Prog. Probab. Stat. 7, 69-83 (1984).
[For the entire collection see Zbl 0546.00025.]
An isomorphism theorem which establishes a relation between a Gaussian random field associated with a symmetric Markov process and local times for the process is proved. It allows one to express moments of the cutoff \(P(\Phi)_ 2\) fields in terms of multiple local times for the Brownian motion and can be applied to investigate local times and self-crossing properties of Markov processes.
Reviewer: V.A.Zagrebnov

60G60 Random fields
81P20 Stochastic mechanics (including stochastic electrodynamics)
60J55 Local time and additive functionals