The Intersection Probability of Brownian Motion and SLEκ
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-26
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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-.
American Psychological Association (APA)
Zhou, Shizhong& Lan, Shiyi. 2015. The Intersection Probability of Brownian Motion and SLEκ. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1053005
Modern Language Association (MLA)
Zhou, Shizhong& Lan, Shiyi. The Intersection Probability of Brownian Motion and SLEκ. Advances in Mathematical Physics No. 2015 (2015), pp.1-5.
https://search.emarefa.net/detail/BIM-1053005
American Medical Association (AMA)
Zhou, Shizhong& Lan, Shiyi. The Intersection Probability of Brownian Motion and SLEκ. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1053005
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053005