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An explicit Fredholm determinant formula is derived for the multipoint distribution of the height function of the totally asymmetric simple exclusion process (TASEP) with arbitrary right-finite initial condition.
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Lorenzo Bertini and Giambattista Giacomin · 1997
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L. Frachebourg and Ph.. Martin · 2000
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S Karlin and G McGregor · 2002
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Mihai Nica, Jeremy Quastel and Daniel Remenik · 2002
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Michael Pr\"ahofer and Herbert Spohn · 2002
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Sourav Sarkar and B\’alint Vir\’ag · 2002
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“Discrete polynuclear growth and determinantal processes”
Kurt Johansson · 2003
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Barry Simon · 2005
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Patrik. Ferrari and Herbert Spohn · 2006
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Tom Alberts, Konstantin Khanin and Jeremy Quastel · 2014
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M. Hairer · 2014
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“Spectrum of the totally asymmetric simple exclusion process on a periodic lattice-first excited states”
Sylvain Prolhac · 2014
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Ivan Corwin, Jeremy Quastel and Daniel Remenik · 2015
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Alexei Borodin, Patrik. Ferrari and Michael Pr\"ahofer · 2007
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Alexei Borodin, Patrik. Ferrari, Michael Pr\"ahofer and Tomohiro Sasamoto · 2007
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“Transition between Airy 1 and Airy 2 processes and TASEP fluctuations”
Alexei Borodin, Patrik. Ferrari and Tomohiro Sasamoto · 2008
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Jeremy Quastel and Benedek Valk\’o · 2008
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“Dimers and orthogonal polynomials: connections with random matrices”
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