Matzinger, Heinrich and Pinzon, Angelica Pachon. (2011) DNA approach to scenery reconstruction. Stochastic Processes and their Applications, Vol.121 (No.11). pp. 2455-2473. ISSN 0304-4149

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Abstract

The basic reconstruction problem lead with the general task of retrieving a scenery from observations made by a random walker. A critical factor associated with the problem is reconstructing the scenery in polynomial time. In this article, we propose a novel technique based on the modern DNA sequencing method for reconstructing a 3-color scenery of length n. The idea is first to reconstruct small pieces of length order log a and then assembled them together to form the required piece. We show that this reconstruction and assembly for a finite piece of a 3-color scenery takes polynomial amount of time. (C) 2011 Published by Elsevier B.V.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Stochastic Processes and their Applications
Publisher:	Elsevier Science BV
ISSN:	0304-4149
Official Date:	2011
Volume:	Vol.121
Number:	No.11
Number of Pages:	19
Page Range:	pp. 2455-2473
Identification Number:	10.1016/j.spa.2011.04.010
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/39559

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