Gibbs Measures on Brownian Paths

  • József Lőrinczi
Part of the Progress in Probability book series (PRPR, volume 51)


This is a summary of results based on recent work outlining how Gibbs measures can be defined on Brownian paths and what are their most important properties. Such Gibbs measures have a number of applications in Euclidean quantum field theory, statistical mechanics, stochastic (partial) differential equations and other areas.


Partition Function Probability Measure Gibbs Measure Cluster Expansion Path Space 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • József Lőrinczi
    • 1
  1. 1.Zentrum MathematikTechnische Universität MünchenMünchenGermany

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