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Scenery reconstruction with branching random walk
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Popov, Serguei and Pachon, Angelica (2011) Scenery reconstruction with branching random walk. Stochastics An International Journal of Probability and Stochastic Processes, Volume 83 (Number 2). pp. 107-116. doi:10.1080/17442508.2010.544973
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Official URL: http://dx.doi.org/10.1080/17442508.2010.544973
Abstract
We study the problem of scenery reconstruction in arbitrary dimension using observations registered in boxes of size k (for k fixed), seen along a branching random walk. We prove that, using a large enough k for almost all the realizations of the branching random walk, almost all sceneries can be reconstructed up to equivalence.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Random walks (Mathematics), Branching processes | ||||
| Journal or Publication Title: | Stochastics An International Journal of Probability and Stochastic Processes | ||||
| Publisher: | Taylor & Francis Ltd. | ||||
| ISSN: | 1744-2508 | ||||
| Official Date: | 2011 | ||||
| Dates: |
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| Volume: | Volume 83 | ||||
| Number: | Number 2 | ||||
| Page Range: | pp. 107-116 | ||||
| DOI: | 10.1080/17442508.2010.544973 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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