Title :
A kind of absorption probability of finite random walk on the plane
Author :
Zhang, Yu-fen ; Zhang, Qun-Feng ; Liu, Shi-pu
Author_Institution :
Key Lab. for Machine Learning & Comput. Intell., Hebei Univ., Baoding, China
Abstract :
In this paper, a kind of finite-step random walks with three absorption boundaries is studied. First, the general expression of absorption probability for the random dots being absorbed by the three absorption boundaries is obtained. Second, the related mathematical proofs are provided.
Keywords :
probability; absorption probability; finite-step random walk; mathematical proof; random dot; Absorption; Biological system modeling; Computational intelligence; Cybernetics; Educational institutions; Genetic expression; Machine learning; Mathematics; Physics computing; Stochastic processes; Absorption boundaries; Absorption probability; Generating function; Random walks;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212130