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Sublinear variance for directed last-passage percolation

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Graham, Benjamin T.. (2012) Sublinear variance for directed last-passage percolation. Journal of Theoretical Probability, Vol.25 (No.3). pp. 687-702. ISSN 0894-9840

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Abstract

A range of first-passage percolation type models are believed to demonstrate the related properties of sublinear variance and superdiffusivity. We show that directed last-passage percolation with Gaussian vertex weights has a sublinear variance property. We also consider other vertex weight distributions.
Corresponding results are obtained for the ground state of the “directed polymers in a random environment” model.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Percolation (Statistical physics), Convex domains
Journal or Publication Title: Journal of Theoretical Probability
Publisher: Springer New York LLC
ISSN: 0894-9840
Official Date: 2012
Volume: Vol.25
Number: No.3
Page Range: pp. 687-702
Identification Number: 10.1007/s10959-010-0315-6
Status: Peer Reviewed
Publication Status: Published
References:

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URI: http://wrap.warwick.ac.uk/id/eprint/41074

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