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Ciech, Federico and Georgiou, Nicos (2021) Last passage percolation in an exponential environment with discontinuous rates. Annales de l’Institut Henri Poincaré, 57 (4). pp. 2165-2188. ISSN 2308-5827
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Official URL: https://doi.org/10.1214/21-AIHP1172
Abstract
We prove a strong law of large numbers for directed last passage times in an independent but inhomogeneous exponential environment. Rates for the exponential random variables are obtained from a discretisation of a speed function that may be discontinuous on a locally finite set of discontinuity curves. The limiting shape is cast as a variational formula that maximises a certain functional over a set of weakly increasing curves.
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
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SWORD Depositor: | Mx Elements Account |
Depositing User: | Mx Elements Account |
Date Deposited: | 16 Jun 2021 07:50 |
Last Modified: | 21 Feb 2022 11:31 |
URI: | http://sro.sussex.ac.uk/id/eprint/89732 |
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📧 Request an updateFunder and Project Information
Project Name | Sussex Project Number | Funder | Funder Ref |
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The flat edge in last passage percolation | G2031 | EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL | EP/P021409/1 |