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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. doi:10.1007/s10959-010-0315-6 ISSN 0894-9840.
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Official URL: http://dx.doi.org/10.1007/s10959-010-0315-6
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 |
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| Divisions: | Faculty of Science, Engineering and Medicine > 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 | ||||
| Dates: |
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| Volume: | Vol.25 | ||||
| Number: | No.3 | ||||
| Page Range: | pp. 687-702 | ||||
| DOI: | 10.1007/s10959-010-0315-6 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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