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Last passage percolation in an exponential environment with discontinuous rates
Version 2 2023-06-12, 09:21
Version 1 2023-06-09, 20:30
journal contribution
posted on 2023-06-12, 09:21 authored by Federico Ciech, Nicos GeorgiouNicos GeorgiouWe 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.
Funding
The flat edge in last passage percolation; G2031; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/P021409/1
History
Publication status
- Published
File Version
- Accepted version
Journal
Annales de l’Institut Henri PoincaréISSN
2308-5827Publisher
Institute of Mathematical StatisticsExternal DOI
Issue
4Volume
57Page range
2165-2188Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2021-06-16First Open Access (FOA) Date
2021-11-29First Compliant Deposit (FCD) Date
2021-06-16Usage metrics
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