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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics