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Reconstructing a Multicolor Random Scenery seen along a Random Walk Path with Bounded Jumps

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Reconstructing a Multicolor Random Scenery seen along a Random Walk Path with Bounded Jumps
2.	Creator	Author's name, affiliation, country	Matthias Loewe; University Muenster
2.	Creator	Author's name, affiliation, country	Heinrich Matzinger; Georgia Tech
2.	Creator	Author's name, affiliation, country	Franz Merkl; Leiden University
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Scenery reconstruction; jumps; stationary processes; random walk; ergodic theory
3.	Subject	Subject classification	60K37; 60G10; 60J75
4.	Description	Abstract	Kesten noticed that the scenery reconstruction method proposed by Matzinger in his PhD thesis relies heavily on the skip-free property of the random walk. He asked if one can still reconstruct an i.i.d. scenery seen along the path of a non-skip-free random walk. In this article, we positively answer this question. We prove that if there are enough colors and if the random walk is recurrent with at most bounded jumps, and if it can reach every integer, then one can almost surely reconstruct almost every scenery up to translations and reflections. Our reconstruction method works if there are more colors in the scenery than possible single steps for the random walk.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2004-06-08
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/206
10.	Identifier	Digital Object Identifier	10.1214/EJP.v9-206
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 9
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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