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

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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Veröffentlicht in:Journal of Probability and Statistics 2013-01, Vol.2013 (2013), p.101-105
1. Verfasser: Ganatsiou, Chrysoula
Format: Artikel
Sprache:eng
Schlagworte:
Markov processes
Mathematical research
Random walks (Mathematics)
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Beschreibung
Zusammenfassung: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.
ISSN:1687-952X
1687-9538
DOI:10.1155/2013/424601