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Totally Asymmetric Simple Exclusion Process (TASEP) on $\mathbb{Z}$ is one of the classical exactly solvable models in the KPZ universality class.
A characterization of the invariant measures for an infinite particle system with interactions
Thomas M. Liggett · 1973
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Ergodic theorems for the asymmetric simple exclusion process
Thomas M. Liggett · 1975
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Coupling the simple exclusion process
Thomas M. Liggett · 1976
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Ergodic theorems for the asymmetric simple exclusion process ii
Thomas M. Liggett · 1977
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Nonequilibrium behaviour of a many particle process: Density profile and local equi- libria
H. Rost · 1981
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Dynamic scaling of growing interfaces
Mehran Kardar, Giorgio Parisi, and Yi-Cheng Zhang · 1986
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Finite size effects and shock fluctuations in the asym- metric simple exclusion process
S. Janowsky and J. Lebowitz · 1992
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Exact results for the asymmetric simple exclusion process with a blockage
S. Janowsky and J. Lebowitz · 1994
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Probability and measure
Patrick Billingsley · 1995
Cited alongside, same era.
Hydrodynamic limit for particle systems with nonconstant speed parameter
P. Covert and F Rezakhanlou · 1997
Cited alongside, same era.
On the distribution of the length of the longest increasing subsequence of random permutations
Jinho Baik, Percy Deift, and Kurt Johansson · 1999
Cited alongside, same era.
Stochastic Interacting Systems: Contact, Voter and Exclusion Processes
Thomas M. Liggett · 1999
Cited alongside, same era.
Shape fluctuations and random matrices
Kurt Johansson · 2000
Cited alongside, same era.
Transversal fluctuations for increasing subsequences on the plane
Kurt Johansson · 2000
Cited alongside, same era.
Queuing transitions in the asymmetric simple exclusion process
M. Ha, J. Timonen, and M. den Nijs · 2003
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First-passage percolation
Harry Kesten · 2003
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Effect of a columnar defect on the shape of slow-combustion fronts
M. Myllys, J. Maunuksela, J. Merikoski, J. Timonen, M. Ha, and M. den Nijs · 2003
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Fluctuations of the one-dimensional asymmetric exclusion process using random matrix techniques
T. Sasamoto · 2007
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Limit process of stationary TASEP near the characteristic line
Jinho Baik, Patrik L. Ferrari, and Sandrine Péché · 2010
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Convergence of the two-point function of the stationary TASEP
J. Baik, Ferrari P.L., and Péché S · 2012
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Hydrodynamic profiles for the totally asymmetric exclusion process with a slow bond
T. Seppalainen · 2001
Cited alongside, same era.
Characterization of stationary measures for one-dimensional exclusion processes
Maury Bramson, Thomas M. Liggett, and Thomas Mountford · 2002
Cited alongside, same era.
Coalescence of geodesics in exactly solvable models of last passage percolation
Riddhipratim Basu, Sourav Sarkar, and Allan Sly
Cited in the paper.
Last passage percolation with a defect line and the solution of the Slow Bond Problem
Riddhipratim Basu, Vladas Sidoravicius, and Allan Sly
Cited in the paper.
Personal Communication
Thomas M. Liggett
Cited in the paper.
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The blockage problem
O. Costin, J.L. Lebowitz, E.R. Speer, and A. Troiani · 2013
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Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density
P. L. Ferrari and A. Occelli · 2017
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