Gibbs measures with double stochastic integrals on a path space

Volkerr Betz, Fumio Hiroshima

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)


    We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the PauliFierz model in nonrelativistic quantum electrodynamics, we prove the existence of its infinite volume limit.

    Original languageEnglish
    Pages (from-to)135-152
    Number of pages18
    JournalInfinite Dimensional Analysis, Quantum Probability and Related Topics
    Issue number1
    Publication statusPublished - Mar 2009

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Mathematical Physics
    • Applied Mathematics


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