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We consider the one-dimensional totally asymmetric simple exclusion process with an arbitrary initial condition in a spatially periodic domain, and obtain explicit formulas for the multi-point distributions in the space-time plane.
Multi-time distribution in discrete polynuclear growth, 2019
Kurt Johansson and Mustazee Rahman · 1906
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Multi-time distribution of TASEP, 2019
Zhipeng Liu · 1907
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Zur Theorie der Metalle; 1, Eigenwerte und Eigenfunktionen der linearen Atomkette
Hans Albrecht Bethe · 1931
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Scattering theory and polynomials orthogonal on the unit circle
Jeffery S. Geronimo and Kenneth M. Case · 1979
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Exact large deviation function in the asymmetric exclusion process
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A Fredholm determinant formula for Toeplitz determinants
Alexei Borodin and Andrei Okounkov · 2000
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On a Toeplitz determinant identity of Borodin and Okounkov
Estelle L. Basor and Harold Widom · 2000
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On the determinant formulas by Borodin, Okounkov, Baik, Deift and Rains
Albrecht Böttcher · 2002
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Discrete polynuclear growth and determinantal processes
Kurt Johansson · 2003
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Exact nonstationary probabilities in the asymmetric exclusion process on a ring
Vyatcheslav B. Priezzhev · 2003
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Bethe ansatz calculation of the spectral gap of the asymmetric exclusion process
Olivier Golinelli and Kirone Mallick · 2004
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Fluctuations of the one-dimensional polynuclear growth model in half-space
T. Sasamoto and T. Imamura · 2004
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Spectral gap of the totally asymmetric exclusion process at arbitrary filling
Olivier Golinelli and Kirone Mallick · 2005
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Attila Rákos and Gunter M. Schütz · 2005
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Discrete Toeplitz/Hankel determinants and the width of nonintersecting processes
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Finite-time fluctuations for the totally asymmetric exclusion process
Sylvain Prolhac · 2016
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On a family of symmetric rational functions
Alexei Borodin · 2017
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Kurt Johansson · 2017
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Pfaffian Schur processes and last passage percolation in a half-quadrant
Jinho Baik, Guillaume Barraquand, Ivan Corwin, and Toufic Suidan · 2018
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Jordan G. Brankov, Vladimir B. Papoyan, Vahagn S. Poghosyan, and Vyatcheslav B. Priezzhev · 2006
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Ivan Corwin, Patrik L. Ferrari, and Sandrine Péché · 2012
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Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process
Guillaume Barraquand, Alexei Borodin, Ivan Corwin, and Michael Wheeler · 2018
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Fluctuations of TASEP on a ring in relaxation time scale
Jinho Baik and Zhipeng Liu · 2018
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Duncan Dauvergne, Janosch Ortmann, and Bálint Virág · 2018
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Height fluctuations of stationary TASEP on a ring in relaxation time scale
Zhipeng Liu · 2018
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Multipoint distribution of periodic TASEP
Jinho Baik and Zhipeng Liu · 2019
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The two-time distribution in geometric last-passage percolation
Kurt Johansson · 2019
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