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The totally asymmetric simple exclusion process (TASEP) on Z with the Bernoulli-rho measure as initial conditions, 0<rho<1, is stationary.
The output of a queuing system
P. Burke · 1956
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Reversibility and Stochastic Networks
F. Kelly · 1969
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Coupling the simple exclusion process
T.M. Liggett · 1976
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Methods of Modern Mathematical Physics IV: Analysis of Operators
M. Reed and B. Simon · 1978
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Excess noise for driven diffusive systems
H. van Beijeren, R. Kutner, and H. Spohn · 1985
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Current fluctuations for the asymmetric simple exclusion process
P.A. Ferrari and L. Fontes · 1994
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Limiting distributions for a polynuclear growth model with external sources
J. Baik and E.M. Rains · 2000
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Shape fluctuations and random matrices
K. Johansson · 2000
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Infinite wedge and random partitions
A. Okounkov · 2001
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Non-intersecting paths, random tilings and random matrices
K. Johansson · 2002
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Current fluctuations for the totally asymmetric simple exclusion process
M. Prähofer and H. Spohn · 2002
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Scale invariance of the PNG droplet and the Airy process
M. Prähofer and H. Spohn · 2002
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Discrete polynuclear growth and determinantal processes
K. Johansson · 2003
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Fluctuations of the one-dimensional polynuclear growth model with external sources
T. Imamura and T. Sasamoto · 2004
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Queues, stores, and tableaux
M. Darief, J. Mairesse and N. O’Connell · 2005
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KPZ equation in one dimension and line ensembles
H. Spohn · 2005
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Phase transition of the largest eigenvalue for non-null complex sample covariance matrices
J. Baik, G. Ben Arous, and S. Péché · 2006
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Asymptotics of Tracy-Widom distributions and the total integral of a Painleve II function
J. Baik, R. Buckingham, and J. DiFranco · 2008
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Large time asymptotics of growth models on space-like paths I: PushASEP
A. Borodin and P.L. Ferrari · 2008
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Large time asymptotics of growth models on space-like paths II: PNG and parallel TASEP
A. Borodin, P.L. Ferrari, and T. Sasamoto · 2008
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Slow decorrelations in KPZ growth
P.L. Ferrari · 2008
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The universal Airy 1 and Airy 2 processes in the Totally Asymmetric Simple Exclusion Process
P.L. Ferrari · 2008
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The Tracy-Widom limit for the largest eigenvalues of singular complex Wishart matrices
A. Onatski · 2008
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Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
P.L. Ferrari and H. Spohn · 2006
Cited alongside, same era.
Random matrices and determinantal processes
K. Johansson · 2006
Cited alongside, same era.
Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals
H. Spohn · 2006
Cited alongside, same era.
Fluctuation properties of the TASEP with periodic initial configuration
A. Borodin, P.L. Ferrari, M. Prähofer, and T. Sasamoto · 2007
Cited alongside, same era.
Airy kernel with two sets of parameters in directed percolation and random matrix theory
A. Borodin and S. Péché · 2007
Cited alongside, same era.
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Current fluctuations for TASEP: a proof of the Prähofer-Spohn conjecture
G. Ben Arous and I. Corwin · 2009
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Anisotropic growth of random surfaces in 2 + 1 2+1 dimensions
A. Borodin and P.L. Ferrari · 2009
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Two speed TASEP
A. Borodin, P.L. Ferrari, and T. Sasamoto · 2009
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Batch queues, reversibility and first-passage percolation
J. Martin · 2009
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