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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Format: | Article |
Language: | English |
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Wiley
2013-01-01
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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. |
format | Article |
id | doaj-art-9d22530ed9e044908ad766d0178c982d |
institution | Kabale University |
issn | 1687-952X 1687-9538 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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 |