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Survival time of random walk in random environment among soft obstacles

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Survival time of random walk in random environment among soft obstacles
2.	Creator	Author's name, affiliation, country	Nina Gantert; University of Munster
2.	Creator	Author's name, affiliation, country	Serguei Popov; Universidade de São Paulo
2.	Creator	Author's name, affiliation, country	Marina Vachkovskaia; Universidade de Campinas
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	confinement of RWRE, survival time, quenched and annealed tails, nestling RWRE, branching random walks in random environment
3.	Subject	Subject classification	60K37
4.	Description	Abstract	We consider a Random Walk in Random Environment (RWRE) moving in an i.i.d. random field of obstacles. When the particle hits an obstacle, it disappears with a positive probability. We obtain quenched and annealed bounds on the tails of the survival time in the general d-dimensional case. We then consider a simplified one-dimensional model (where transition probabilities and obstacles are independent and the RWRE only moves to neighbour sites), and obtain finer results for the tail of the survival time. In addition, we study also the "mixed" probability measures (quenched with respect to the obstacles and annealed with respect to the transition probabilities and vice-versa) and give results for tails of the survival time with respect to these probability measures. Further, we apply the same methods to obtain bounds for the tails of hitting times of Branching Random Walks in Random Environment (BRWRE).
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2009-01-20
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/631
10.	Identifier	Digital Object Identifier	10.1214/EJP.v14-631
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 14
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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