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Geodesics and Recurrence of Random Walks in Disordered Systems

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Geodesics and Recurrence of Random Walks in Disordered Systems
2.	Creator	Author's name, affiliation, country	Daniel Boivin; Université de Bretagne Sud
2.	Creator	Author's name, affiliation, country	Jean-Marc Derrien; Université de Bretagne Sud
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Random environment with stationary conductances;Geodesics in first-passage percolation model; Reversible random walks on$Z^2$;Recurrence and transience.
3.	Subject	Subject classification	60K35 60K37 60G50
4.	Description	Abstract	In a first-passage percolation model on the square lattice $Z^2$, if the passage times are independent then the number of geodesics is either $0$ or $+\infty$. If the passage times are stationary, ergodic and have a finite moment of order $\alpha > 1/2$, then the number of geodesics is either $0$ or $+\infty$. We construct a model with stationary passage times such that $E\lbrack t(e)^\alpha\rbrack < \infty$, for every $0 < \alpha < 1/2$, and with a unique geodesic. The recurrence/transience properties of reversible random walks in a random environment with stationary conductances $( a(e);e$ is an edge of $\mathbb{Z}^2)$ are considered.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2002-05-15
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1052
10.	Identifier	Digital Object Identifier	10.1214/ECP.v7-1052
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 7
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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