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Conditioning SLEs and loop erased random walks

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 نشر من قبل Michel Bauer
 تاريخ النشر 2008
  مجال البحث فيزياء
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 تأليف Michel Bauer




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We discuss properties of dipolar SLE(k) under conditioning. We show that k=2, which describes continuum limits of loop erased random walks, is characterized as being the only value of k 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 SLE(2).

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