On the Study of Transience and Recurrence of the Markov Chain Defined by Directed Weighted Circuits Associated with a Random Walk in Fixed Environment

By using the cycle representation theory of Markov processes, we investigate proper criterions regarding transience and recurrence of the corresponding Markov chain represented uniquely by directed cycles (especially by directed circuits) and weights of a random walk with jumps in a fixed environmen...

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Main Author: Chrysoula Ganatsiou
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2013/424601
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author Chrysoula Ganatsiou
author_facet Chrysoula Ganatsiou
author_sort Chrysoula Ganatsiou
collection DOAJ
description By using the cycle representation theory of Markov processes, we investigate proper criterions regarding transience and recurrence of the corresponding Markov chain represented uniquely by directed cycles (especially by directed circuits) and weights of a random walk with jumps in a fixed environment.
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institution Kabale University
issn 1687-952X
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language English
publishDate 2013-01-01
publisher Wiley
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series Journal of Probability and Statistics
spelling doaj-art-9d22530ed9e044908ad766d0178c982d2025-02-03T01:09:51ZengWileyJournal of Probability and Statistics1687-952X1687-95382013-01-01201310.1155/2013/424601424601On the Study of Transience and Recurrence of the Markov Chain Defined by Directed Weighted Circuits Associated with a Random Walk in Fixed EnvironmentChrysoula Ganatsiou0Department of Civil Engineering, Section of Mathematics and Statistics, School of Technological Sciences, University of Thessaly, Pedion Areos, 38334 Volos, GreeceBy using the cycle representation theory of Markov processes, we investigate proper criterions regarding transience and recurrence of the corresponding Markov chain represented uniquely by directed cycles (especially by directed circuits) and weights of a random walk with jumps in a fixed environment.http://dx.doi.org/10.1155/2013/424601
spellingShingle Chrysoula Ganatsiou
On the Study of Transience and Recurrence of the Markov Chain Defined by Directed Weighted Circuits Associated with a Random Walk in Fixed Environment
Journal of Probability and Statistics
title On the Study of Transience and Recurrence of the Markov Chain Defined by Directed Weighted Circuits Associated with a Random Walk in Fixed Environment
title_full On the Study of Transience and Recurrence of the Markov Chain Defined by Directed Weighted Circuits Associated with a Random Walk in Fixed Environment
title_fullStr On the Study of Transience and Recurrence of the Markov Chain Defined by Directed Weighted Circuits Associated with a Random Walk in Fixed Environment
title_full_unstemmed On the Study of Transience and Recurrence of the Markov Chain Defined by Directed Weighted Circuits Associated with a Random Walk in Fixed Environment
title_short On the Study of Transience and Recurrence of the Markov Chain Defined by Directed Weighted Circuits Associated with a Random Walk in Fixed Environment
title_sort on the study of transience and recurrence of the markov chain defined by directed weighted circuits associated with a random walk in fixed environment
url http://dx.doi.org/10.1155/2013/424601
work_keys_str_mv AT chrysoulaganatsiou onthestudyoftransienceandrecurrenceofthemarkovchaindefinedbydirectedweightedcircuitsassociatedwitharandomwalkinfixedenvironment