Partition Functions, Loop Measure, and Versions of SLE

We discuss the partition function view of the Schramm-Loewner evolution. After reviewing a number of known results in the framework of Brownian loop measures and scaling rules for partition functions, we give some speculation about multiply connected domains.

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Bibliographic Details
Published in:Journal of statistical physics 2009-03, Vol.134 (5-6), p.813-837
Main Author: Lawler, Gregory F.
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Summary:We discuss the partition function view of the Schramm-Loewner evolution. After reviewing a number of known results in the framework of Brownian loop measures and scaling rules for partition functions, we give some speculation about multiply connected domains.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-009-9704-6