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Gibbs measures on Brownian paths: theory and applications
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posted on 2016-07-11, 11:45 authored by Volker Betz, Jozsef Lorinczi, Herbert SpohnWe review our investigations on Gibbs measures relative to Brownian motion, in particular the existence of such measures and their path properties, uniqueness, resp. non-uniqueness. For the case when the energy only depends on increments, we present a functional central limit theorem. We also explain connections with other work and state open problems of interest.
History
School
- Science
Department
- Mathematical Sciences
Citation
BETZ, V., LORINCZI, J. and SPOHN, H., Gibbs measures on Brownian paths: theory and applications. arXiv:math-ph/0404062Publisher
arXivVersion
- SMUR (Submitted Manuscript Under Review)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2004Notes
This is an ArXiv paper.Publisher version
Language
- en