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Recently Johansson and Rahman obtained the limiting multi-time distribution for the discrete polynuclear growth model, which is equivalent to a discrete TASEP model with step initial condition.
On the distribution of the length of the longest increasing subsequence of random permutations
Jinho Baik, Percy Deift, and Kurt Johansson · 1999
Earlier work this paper cites.
Shape fluctuations and random matrices
Kurt Johansson · 2000
Earlier work this paper cites.
Scale invariance of the PNG droplet and the Airy process
Michael Prähofer and Herbert Spohn · 2002
Earlier work this paper cites.
Discrete polynuclear growth and determinantal processes
Kurt Johansson · 2003
Earlier work this paper cites.
Fluctuations of the one-dimensional polynuclear growth model with external sources
T. Imamura and T. Sasamoto · 2004
Earlier work this paper cites.
Spatial correlations of the 1D KPZ surface on a flat substrate
T. Sasamoto · 2005
Earlier work this paper cites.
Fluctuations in the discrete TASEP with periodic initial configurations and the Airy 1 {\rm Airy}_{1} process
Alexei Borodin, Patrik L. Ferrari, and Michael Prähofer · 2007
Earlier work this paper cites.
Fluctuation properties of the TASEP with periodic initial configuration
Alexei Borodin, Patrik L. Ferrari, Michael Prähofer, and Tomohiro Sasamoto · 2007
Earlier work this paper cites.
Transition between Airy 1 {\rm Airy}_{1} and Airy 2 {\rm Airy}_{2} processes and TASEP fluctuations
Alexei Borodin, Patrik L. Ferrari, and Tomohiro Sasamoto · 2008
Earlier work this paper cites.
Integral formulas for the asymmetric simple exclusion process
Craig A. Tracy and Harold Widom · 2008
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Asymptotics in ASEP with step initial condition
Craig A. Tracy and Harold Widom · 2009
Earlier work this paper cites.
Limit process of stationary TASEP near the characteristic line
Jinho Baik, Patrik L. Ferrari, and Sandrine Péché · 2010
Earlier work this paper cites.
Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 1+1 dimensions
Gideon Amir, Ivan Corwin, and Jeremy Quastel · 2011
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The Kardar-Parisi-Zhang equation and universality class
Ivan Corwin · 2012
Earlier work this paper cites.
Vertex models, TASEP and Grothendieck polynomials
Kohei Motegi and Kazumitsu Sakai · 2013
Cited alongside, same era.
Macdonald processes
Alexei Borodin and Ivan Corwin · 2014
Cited alongside, same era.
Free energy fluctuations for directed polymers in random media in 1 + 1 1+1 dimension
Alexei Borodin, Ivan Corwin, and Patrik Ferrari · 2014
Cited alongside, same era.
Airy processes and variational problems
Jeremy Quastel and Daniel Remenik · 2014
Cited alongside, same era.
TASEP on a ring in sub-relaxation time scale
Jinho Baik and Zhipeng Liu · 2016
Cited alongside, same era.
Fluctuations of TASEP and LPP with general initial data
Ivan Corwin, Zhipeng Liu, and Dong Wang · 2016
Cited alongside, same era.
Limit distributions for KPZ growth models with spatially homogeneous random initial conditions
Sunil Chhita, Patrik L. Ferrari, and Herbert Spohn · 2018
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Two-time height distribution for 1D KPZ growth: the recent exact result and its tail via replica
Jacopo de Nardis and Pierre Le Doussal · 2018
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Duncan Dauvergne, Janosch Ortmann, and Bálint Virág · 2018
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Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density
Patrik L. Ferrari and Alessandra Occelli · 2018
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Height fluctuations of stationary TASEP on a ring in relaxation time scale
Zhipeng Liu · 2018
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Patrik L. Ferrari and Herbert Spohn · 2016
Cited alongside, same era.
On a family of symmetric rational functions
Alexei Borodin · 2017
Cited alongside, same era.
Tail of the two-time height distribution for KPZ growth in one dimension
Jacopo de Nardis and Pierre Le Doussal · 2017
Cited alongside, same era.
Two time distribution in Brownian directed percolation
Kurt Johansson · 2017
Cited alongside, same era.
Maximum of an airy process plus brownian motion and memory in kardar-parisi-zhang growth
Pierre Le Doussal · 2017
Cited alongside, same era.
Konstantin Matetski, Jeremy Quastel, and Daniel Remenik · 2017
Cited alongside, same era.
Jinho Baik and Zhipeng Liu · 2019
Closest in time.
Time-time covariance for last passage percolation with generic initial profile
Patrik L. Ferrari and Alessandra Occelli · 2019
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The two-time distribution in geometric last-passage percolation
Kurt Johansson · 2019
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Multitime distribution in discrete polynuclear growth
Kurt Johansson and Mustazee Rahman · 2019
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How flat is flat in random interface growth?
Jeremy Quastel and Daniel Remenik · 2019
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Long and short time asymptotics of the two-time distribution in local random growth
Kurt Johansson · 2020
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Periodic TASEP with general initial conditions
Jinho Baik and Zhipeng Liu · 2021
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KPZ equation correlations in time
Ivan Corwin, Promit Ghosal, and Alan Hammond · 2021
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One point distribution of the geodesic in directed last passage percolation
Zhipeng Liu · 2021
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