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Optimality Regions and Fluctuations for Bernoulli Last Passage Models

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 نشر من قبل Janosch Ortmann
 تاريخ النشر 2016
  مجال البحث
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We 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.



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