Spectrum of the totally asymmetric simple exclusion process on a periodic lattice-first excited states

DOI10.1088/1751-8113/47/37/375001zbMath1314.60158arXiv1404.1315OpenAlexW1976060324MaRDI QIDQ2922372

Sylvain Prolhac

Publication date: 10 October 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1315

zbMATH Keywords

Bethe ansatztotally asymmetric simple exclusion processcomplex spectrumEuler-Maclaurin formulaperiodic latticenon-Hermitian operator

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23)

Related Items (9)

Brownian bridges for late time asymptotics of KPZ fluctuations in finite volume ⋮ Asymptotics for the norm of Bethe eigenstates in the periodic totally asymmetric exclusion process ⋮ Integrable fluctuations in the KPZ universality class ⋮ Perturbative solution for the spectral gap of the weakly asymmetric exclusion process ⋮ Integral formulas of ASEP and \(q\)-TAZRP on a ring ⋮ Solution of the Kolmogorov equation for TASEP ⋮ Current fluctuations and large deviations for periodic TASEP on the relaxation scale ⋮ Riemann surface crossover for the spectral gaps of open TASEP ⋮ Limiting one-point distribution of periodic TASEP

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