On the Study of Transience and Recurrence of the Markov Chain Defined by Directed Weighted Circuits Associated with a Random Walk in Fixed Environment-Reference-Cited by-同舟云学术

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

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:1687-952X
Container-title:Journal of Probability and Statistics
language:en
Short-container-title:Journal of Probability and Statistics

Author:

Ganatsiou Chrysoula¹^ORCID

Affiliation:

1. Department of Civil Engineering, Section of Mathematics and Statistics, School of Technological Sciences, University of Thessaly, Pedion Areos, 38334 Volos, Greece

Abstract

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.

Publisher

Hindawi Limited

Subject

Statistics and Probability

Link

http://downloads.hindawi.com/journals/jps/2013/424601.pdf

Reference6 articles.

1. Circuit Processes

2. Circulation for recurrent markov chains

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