TY - JOUR
A2 - Mironov, Andrei D.
AU - Zhou, Shizhong
AU - Lan, Shiyi
PY - 2015
DA - 2015/08/26
TI - The Intersection Probability of Brownian Motion and SLE_{κ}
SP - 627423
VL - 2015
AB - By using excursion measure Poisson kernel method, we obtain a second-order differential equation of the intersection probability of Brownian motion and SLEκ. Moreover, we find a transformation such that the second-order differential equation transforms into a hypergeometric differential equation. Then, by solving the hypergeometric differential equation, we obtain the explicit formula of the intersection probability for the trace of the chordal SLEκ and planar Brownian motion started from distinct points in an upper half-plane H-.
SN - 1687-9120
UR - https://doi.org/10.1155/2015/627423
DO - 10.1155/2015/627423
JF - Advances in Mathematical Physics
PB - Hindawi Publishing Corporation
KW -
ER -