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We study the multi-time distribution in a discrete polynuclear growth model or, equivalently, in directed last-passage percolation with geometric weights.
The long and short time asymptotics of the two-time distribution in local random growth
K. Johansson · 1904
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Multi-time distribution of TASEP
Z. Liu · 1907
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Shift–invariance for vertex models and polymers
A. Borodin, V. Gorin and M. Wheeler · 1912
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Dynamic scaling of growing interfaces
M. Kardar, G. Parisi and Y.-C. Zhang · 1986
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Kinetic Roughening of Growing Interfaces
J. Krug and H. Spohn · 1992
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Level-spacing distributions and the Airy kernel
C. A. Tracy and H. Widom · 1994
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Exact solution of the master equation for the asymmetric exclusion process
G. M. Schütz · 1997
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Shape fluctuations and random matrices
K. Johansson · 2000
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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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Conditioned random walks and the RSK correspondence
N. O’Connell · 2003
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Current distribution and random matrix ensembles for an integrable asymmetric fragmentation process
A. Rákos and G. M. Schütz · 2005
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Spatial correlations of the 1D KPZ surface on a flat substrate
T. Sasamoto · 2005
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Fluctuation properties of the TASEP with periodic initial configurations
A. Borodin, P. L. Ferrari, M. Prahöfer and T. Sasamoto · 2007
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Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition
T. Imamura and T. Sasamoto · 2007
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Dyson’s Brownian motions, intertwining and interlacing
J. Warren · 2007
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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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Determinantal transition kernels for some interacting particles on the line
A. B. Dieker and J. Warren · 2008
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Brownian Gibbs property for Airy line ensembles
I. Corwin and A. Hammond · 2014
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Lectures on integrable probability
A. Borodin and V. Gorin · 2016
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Tail of the two-time height distribution for KPZ growth in one dimension
J. De Nardis and P. Le Doussal · 2017
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Memory and universality in interface growth
J. De Nardis, P. Le Doussal and K. A. Takeuchi · 2017
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P. L. Ferrari · 2008
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Lecture notes on the corner growth model , 2009
T. Seppäläinen · 2009
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A multi-dimensional Markov chain and the Meixner ensemble
K. Johansson · 2010
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Introduction to KPZ
J. Quastel · 2011
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The Kardar-Parisi-Zhang equation and universality class
I. Corwin · 2012
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Universality of slow de-correlation in KPZ growth
I. Corwin, P. L. Ferrari and S. Péché · 2012
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M. Sano and K. A. Takeuchi · 2012
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P. L. Ferrari, H. Spohn and T. Weiss · 2017
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K. Matetski, J. Quastel and D. Remenik · 2017
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Time correlation exponents in last passage percolation
R. Basu and S. Ganguly · 2018
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D. Dauvergne, J. Ortmann and B. Virág · 2018
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Two-time height distribution for 1D KPZ growth: the recent exact result and its tail via replica
J. De Nardis and P. Le Doussal · 2018
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Multi-point distribution of periodic TASEP
J. Baik and Z. Liu · 2019
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Time-time covariance for last passage percolation with generic initial profile
P. L. Ferrari and A. Occelli · 2019
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The two-time distribution in geometric last-passage percolation
K. Johansson · 2019
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