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Partition Functions, Loop Measure, and Versions of SLE

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, IL, 60637-1546, USA

    Gregory F. Lawler

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  1. Gregory F. Lawler
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Correspondence to Gregory F. Lawler.

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Research supported by National Science Foundation grant DMS-0734151.

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Lawler, G.F. Partition Functions, Loop Measure, and Versions of SLE. J Stat Phys 134, 813–837 (2009). https://doi.org/10.1007/s10955-009-9704-6

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  • DOI: https://doi.org/10.1007/s10955-009-9704-6

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