A directed continuous time random walk model with jump length depending on waiting time.
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 fun...
| Publicado en: | Scientific World Journal pp. 182508 - 182509 |
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| Autores principales: | , , , |
| Formato: | research Journal Article |
| Publicado: |
Wiley-Blackwell
2014
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ccm&AN=103819629&site=ehost-live header: @attributes: shortDbName: ccm uiTerm: 103819629 longDbName: CINAHL Complete uiTag: AN controlInfo: bkinfo: dissinfo: jinfo: jid: 1537744X 1BX5 jtl: Scientific World Journal issn: 1537744X maglogo: N pubinfo: dt: 2014 pid: 480 pub: Wiley-Blackwell place: Malden, Massachusetts artinfo: ui: 103819629 103819629 NLM24757412 2012557838 10.1155/2014/182508 NLM24757412 PMC3976852 103819629 ppf: 182508 ppct: 1 formats: tig: atl: A directed continuous time random walk model with jump length depending on waiting time. aug: au: Shi, Long Yu, Zuguo Mao, Zhi Xiao, Aiguo affil: Hunan Key Laboratory for Computation and Simulation in Science and Engineering and Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, Xiangtan, Hunan 411105, China ; Institute of Mathematics and Physics, Central South University of Forest and Technology, Changsha, Hunan 410004, China. sug: subj: Algorithms Computer Simulation Models, Statistical Time Factors ab: 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. pubtype: Academic Journal doctype: research Journal Article ougenre: Article language: English refInfo: holdings: @attributes: islocal: N |
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