Markov loops and renormalization

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May 2010 Markov loops and renormalization

Yves Le Jan

Ann. Probab. 38(3): 1280-1319 (May 2010). DOI: 10.1214/09-AOP509

Abstract

We study the Poissonnian ensembles of Markov loops and the associated renormalized self intersection local times.

Yves Le Jan. "Markov loops and renormalization." Ann. Probab. 38 (3) 1280 - 1319, May 2010. https://doi.org/10.1214/09-AOP509

Published: May 2010

First available in Project Euclid: 2 June 2010

MathSciNet: MR2675000

Digital Object Identifier: 10.1214/09-AOP509

Subjects:

Primary: 60J27, 60K35

Secondary: 60J45

Keywords: Free field, Loop ensembles, occupation field

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Vol.38 • No. 3 • May 2010

Institute of Mathematical Statistics