A directed continuous time random walk model with jump length depending on waiting time

Shi, Long, Yu, Zu-Guo, Mao, Zhi, & Xiao, Aiguo (2014) A directed continuous time random walk model with jump length depending on waiting time. The Scientific World Journal, 2014(182508), pp. 1-4.

View at publisher (open access)


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 at time 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.

Impact and interest:

0 citations in Scopus
Search Google Scholar™

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

Full-text downloads:

42 since deposited on 22 Oct 2015
24 in the past twelve months

Full-text downloads displays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.

ID Code: 88836
Item Type: Journal Article
Refereed: Yes
DOI: 10.1155/2014/182508
ISSN: 1537-744X
Copyright Owner: Copyright © 2014 Long Shi et al.
Copyright Statement: This is an open access article distributed under the Creative Commons Attribution License, which
permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Deposited On: 22 Oct 2015 23:39
Last Modified: 25 Jun 2017 22:02

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page