On the paths Hölder continuity in models of Euclidean Quantum Field Theory

Sergio Albeverio, Roman Gielerak, Francesco Russo

Research output: Contribution to journalArticlepeer-review

Abstract

Sample paths properties of certain stochastic processes connected to models of Euclidean Quantum Field Theory are studied. In particular, the Hölder continuity of paths of the coordinate processes and trace processes is proven. The results are obtained by an application of classical probabilistic criteria together with basic estimates proven in Constructive Quantum Field Theory.

Original languageEnglish
Pages (from-to)677-702
Number of pages26
JournalStochastic Analysis and Applications
Volume19
Issue number5
DOIs
Publication statusPublished - 1 Dec 2001
Externally publishedYes

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