A generalization of Schramm's formula for SLE_2
(2009) Journal of Statistical Mechanics: Theory and Experiment — p. P02033 (2009)
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- Abstract
- The scaling limit of planar loop-erased random walks is described by using a stochastic Loewner evolution with parameter κ = 2. In this paper SLE2 in the upper half-plane mathbb {H} minus a simply connected compact subset mathbb {K}subset mathbb {H} is studied. As a main result, the left-passage probability with respect to mathbb {K} is explicitly determined.
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Walmsley Hagendorf, C. (2009). A generalization of Schramm’s formula for SLE_2. Journal of Statistical Mechanics: Theory and Experiment, P02033. https://doi.org/10.1088/1742-5468/2009/02/P02033 (Original work published 2009)