Georgiou-Ortmann2018_Article_OptimalityRegionsAndFluctuatio.pdf (1.96 MB)
Optimality regions and fluctuations for Bernoulli last passage models
journal contribution
posted on 2023-06-09, 14:22 authored by Nicos GeorgiouNicos Georgiou, Janosch OrtmannWe study the sequence alignment problem and its independent version,the discrete Hammersley process with an exploration penalty. We obtain rigorous upper bounds for the number of optimality regions in both models near the soft edge.At zero penalty the independent model becomes an exactly solvable model and we identify cases for which the law of the last passage time converges to a Tracy-Widom law.
Funding
The flat edge in last passage percolation; G2031; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/P021409/1
History
Publication status
- Published
File Version
- Published version
Journal
Mathematical Physics, Analysis and GeometryISSN
1385-0172Publisher
Springer VerlagExternal DOI
Issue
22Volume
21Page range
1-29Department affiliated with
- Mathematics Publications
Research groups affiliated with
- Probability and Statistics Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2018-08-03First Open Access (FOA) Date
2018-08-03First Compliant Deposit (FCD) Date
2018-08-02Usage metrics
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