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A Directed Continuous Time Random Walk Model with Jump Length Depending on Waiting Time
Joint Authors
Shi, Long
Mao, Zhi
Yu, Zuguo
Xiao, Ai-Guo
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-13
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
In continuum one-dimensional space, a coupled directed continuous time random walk model is proposed, where the random walker jumps toward one direction and the waiting time between jumps affects the subsequent jump.
In the proposed model, the Laplace-Laplace transform of the probability density function P ( x , t ) of finding the walker at position x at time t is completely determined by the Laplace transform of the probability density function φ ( t ) of the waiting time.
In terms of the probability density function of the waiting time in the Laplace domain, the limit distribution of the random process and the corresponding evolving equations are derived.
American Psychological Association (APA)
Shi, Long& Yu, Zuguo& Mao, Zhi& Xiao, Ai-Guo. 2014. A Directed Continuous Time Random Walk Model with Jump Length Depending on Waiting Time. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1048628
Modern Language Association (MLA)
Shi, Long…[et al.]. A Directed Continuous Time Random Walk Model with Jump Length Depending on Waiting Time. The Scientific World Journal No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-1048628
American Medical Association (AMA)
Shi, Long& Yu, Zuguo& Mao, Zhi& Xiao, Ai-Guo. A Directed Continuous Time Random Walk Model with Jump Length Depending on Waiting Time. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1048628
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048628