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Автор Mohamed A El-Shehawey
Дата выпуска 2000-12-15
dc.description A biased random walk on a linear lattice bounded by one or two partially absorbing boundaries is considered. At the boundaries, the particle is either lost from the system or turned back, and reduces to the classical problem of a random walk with absorbing and/or reflecting barriers. The probabilities of ultimate absorption at the boundaries are obtained, as well as the conditional mean for the number of steps before stopping given the absorption at a specified barrier. The symmetries for the conditional mean are also given. Previous formulae are found to be in error.
Формат application.pdf
Издатель Institute of Physics Publishing
Название Absorption probabilities for a random walk between two partially absorbing boundaries: I
Тип paper
DOI 10.1088/0305-4470/33/49/301
Print ISSN 0305-4470
Журнал Journal of Physics A: Mathematical and General
Том 33
Первая страница 9005
Последняя страница 9013
Аффилиация Mohamed A El-Shehawey; Department of Mathematics, Mansoura University, Damietta Faculty of Science, PO Box 6, New Damietta, Egypt
Выпуск 49

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