Conditioning schramm-loewner evolutions and loop erased random walks

Michel Bauer, Denis Bernard, Thomas G Kennedy

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Abstract

We discuss properties of dipolar Schramm-Loewner evolution (SLEκ) under conditioning. We show that κ=2, which describes continuum limits of loop erased random walks, is characterized as being the only value of κ such that dipolar SLE conditioned to stop on an interval coincides with dipolar SLE on that interval. We illustrate this property by computing a new bulk passage probability for SLE2.

Original languageEnglish (US)
Article number043301
JournalJournal of Mathematical Physics
Volume50
Issue number4
DOIs
Publication statusPublished - 2009

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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