Tubular recurrence

M.S. Keane; S.W.W. Rolles

doi:10.1023/A:1020855011898

Tubular recurrence

M.S. Keane
, S.W.W. Rolles

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

13 Citaten (Scopus)

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We introduce the directed-edge-reinforced random walk and prove that the process is equivalent to a random walk in random environment. Using Oseledec"s multiplicative ergodic theorem, we obtain recurrence and transience criteria for random walks in random environment on graphs with a certain linear structure and apply them to directed-edge-reinforced random walks.

Originele taal-2	Engels
Pagina's (van-tot)	207-221
Tijdschrift	Acta Mathematica Hungarica
Volume	97
Nummer van het tijdschrift	3
DOI's	https://doi.org/10.1023/A:1020855011898
Status	Gepubliceerd - 2002

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10.1023/A:1020855011898

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AB - We introduce the directed-edge-reinforced random walk and prove that the process is equivalent to a random walk in random environment. Using Oseledec"s multiplicative ergodic theorem, we obtain recurrence and transience criteria for random walks in random environment on graphs with a certain linear structure and apply them to directed-edge-reinforced random walks.

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DO - 10.1023/A:1020855011898

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JO - Acta Mathematica Hungarica

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Tubular recurrence

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