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Tracy-Widom limit of \(q\)-Hahn TASEP

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Publication:894161
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DOI10.1214/EJP.v20-4241zbMath1328.60221arXiv1407.2787MaRDI QIDQ894161

Bálint Vető

Publication date: 27 November 2015

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2787


zbMATH Keywords

interacting particle systemsTracy-Widom distributionKPZ universality class\(q\)-Hahn TASEPcurrent fluctuation


Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting random processes; statistical mechanics type models; percolation theory (60K35)


Related Items

Stochastic higher spin vertex models on the line ⋮ Inhomogeneous exponential jump model ⋮ Asymptotic fluctuations of geometric \(q\)-TASEP, geometric \(q\)-PushTASEP and \(q\)-PushASEP ⋮ Determinantal structures in the O'Connell-Yor directed random polymer model ⋮ Dynamical stochastic higher spin vertex models ⋮ Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz ⋮ Random-walk in beta-distributed random environment ⋮ Parameter permutation symmetry in particle systems and random polymers ⋮ Nonstationary generalized TASEP in KPZ and jamming regimes ⋮ Stationary stochastic higher spin six vertex model and \(q\)-Whittaker measure



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