Fetching the paper…
Reading the bibliography…
The relaxation time limit of the one-point distribution of the spatially periodic totally asymmetric simple exclusion process is expected to be the universal one point distribution for the models in the KPZ universality class in a periodic domain.
Riemann surfaces for KPZ with periodic boundaries, 2019
S. Prolhac · 1908
Earlier work this paper cites.
KP governs random growth off a one dimensional substrate, 2019
J. Quastel and D. Remenik · 1908
Earlier work this paper cites.
Periodic TASEP with general initial conditions, 2019
J. Baik and Z. Liu · 1912
Earlier work this paper cites.
On the stability of solitary waves in weakly dispersive media
B. B. Kadomtsev and V. I. Petviashvili · 1970
Earlier work this paper cites.
The inverse scattering transform-Fourier analysis for nonlinear problems
M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur · 1974
Earlier work this paper cites.
Fredholm determinants and the τ \tau function for the Kadomtsev-Petviashvili hierarchy
C. Pöppe and D. H. Sattinger · 1988
Earlier work this paper cites.
General determinants and the τ \tau function for the Kadomtsev-Petviashvili hierarchy
C. Pöppe · 1989
Earlier work this paper cites.
Differential equations for quantum correlation functions
A. R. Its, A. G. Izergin, V. E. Korepin, and N. A. Slavnov · 1990
Earlier work this paper cites.
Bethe solution for the dynamical-scaling exponent of the noisy burgers equation
L.-H. Gwa and H. Spohn · 1992
Earlier work this paper cites.
Level-spacing distributions and the Airy kernel
C. A. Tracy and H. Widom · 1994
Earlier work this paper cites.
A Riemann-Hilbert approach to asymptotic problems arising in the theory of random matrix models, and also in the theory of integrable statistical mechanics
P. A. Deift, A. R. Its, and X. Zhou · 1997
Earlier work this paper cites.
Exact large deviation function in the asymmetric exclusion process
B. Derrida and J. L. Lebowitz · 1998
Earlier work this paper cites.
On the distribution of the length of the longest increasing subsequence of random permutations
J. Baik, P. Deift, and K. Johansson · 1999
Earlier work this paper cites.
Integrable operators
P. Deift · 1999
Earlier work this paper cites.
Riemann-Hilbert problem and the discrete Bessel kernel
A. Borodin · 2000
Cited alongside, same era.
Shape fluctuations and random matrices
K. Johansson · 2000
Cited alongside, same era.
The behavior of polylogarithms at z = 1 z=1
W. H. Paulsen · 2002
Cited alongside, same era.
Discrete gap probabilities and discrete Painlevé equations
A. Borodin · 2003
Cited alongside, same era.
Exact nonstationary probabilities in the asymmetric exclusion process on a ring
V. B. Priezzhev · 2003
Cited alongside, same era.
On the initial value problem for the KPII equation with data that do not decay along a line
M. J. Ablowitz and J. Villarroel · 2004
Cited alongside, same era.
The transition between the gap probabilities from the Pearcey to the airy process—a Riemann-Hilbert approach
M. Bertola and M. Cafasso · 2012
Later among the works it cites.
Integrable nonlocal nonlinear Schrödinger equation
M. J. Ablowitz and Z. H. Musslimani · 2013
Later among the works it cites.
Free energy fluctuations for directed polymers in random media in 1 + 1 1+1 dimension
A. Borodin, I. Corwin, and P. Ferrari · 2014
Later among the works it cites.
Spectrum of the totally asymmetric simple exclusion process on a periodic lattice-first excited states
S. Prolhac · 2014
Later among the works it cites.
Anomalous shock fluctuations in TASEP and last passage percolation models
P. L. Ferrari and P. Nejjar · 2015
Later among the works it cites.
Finite-time fluctuations for the totally asymmetric exclusion process
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Bethe ansatz calculation of the spectral gap of the asymmetric exclusion process
O. Golinelli and K. Mallick · 2004
Cited alongside, same era.
Spectral gap of the totally asymmetric exclusion process at arbitrary filling
O. Golinelli and K. Mallick · 2005
Cited alongside, same era.
The totally asymmetric exclusion process on a ring: Exact relaxation dynamics and associated model of clustering transition
J. G. Brankov, V. B. Papoyan, V. S. Poghosyan, and V. B. Priezzhev · 2006
Cited alongside, same era.
Asymptotics of Tracy-Widom distributions and the total integral of a Painlevé II function
J. Baik, R. Buckingham, and J. DiFranco · 2008
Cited alongside, same era.
Asymptotics in ASEP with step initial condition
C. A. Tracy and H. Widom · 2009
Cited alongside, same era.
Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 1+1 dimensions
G. Amir, I. Corwin, and J. Quastel · 2011
Cited alongside, same era.
S. Prolhac · 2016
Later among the works it cites.
K. Matetski, J. Quastel, and D. Remenik · 2017
Later among the works it cites.
Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
M. J. Ablowitz, X.-D. Luo, and Z. H. Musslimani · 2018
Later among the works it cites.
Fluctuations of TASEP on a ring in relaxation time scale
J. Baik and Z. Liu · 2018
Later among the works it cites.
D. Dauvergne, J. Ortmann, and B. Virág · 2018
Later among the works it cites.
Height fluctuations of stationary TASEP on a ring in relaxation time scale
Z. Liu · 2018
Later among the works it cites.
Multipoint distribution of periodic TASEP
J. Baik and Z. Liu · 2019
Later among the works it cites.
Large deviations for the Kardar-Parisi-Zhang equation from the Kadomtsev-Petviashvili equation
P. Le Doussal · 2020
Closest in time.