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We prove a strong law of large numbers for directed last passage times in an independent but inhomogeneous exponential environment.
Nonequilibrium behaviour of a many particle process: density profile and local equilibria
H. Rost · 1981
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Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process
Steven A Janowsky and Joel L Lebowitz · 1992
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Exact results for the asymmetric simple exclusion process with a blockage
Steven A Janowsky and Joel L Lebowitz · 1994
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Hydrodynamic limit for particle systems with nonconstant speed parameter
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Coupling the totally asymmetric simple exclusion process with a moving interface
T. Seppäläinen · 1997
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Hydrodynamical limit for spatially heterogeneous simple exclusion processes
Christophe Bahadoran · 1998
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Exact limiting shape for a simplified model of first-passage percolation on the plane
Timo Seppäläinen · 1998
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Hydrodynamics and platoon formation for a totally asymmetric exclusion model with particlewise disorder
Timo Seppäläinen and Joachim Krug · 1999
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Limit theorems for height fluctuations in a class of discrete space and time growth models
Janko Gravner, Craig A Tracy, and Harold Widom · 2001
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Hydrodynamic profiles for the totally asymmetric exclusion process with a slow bond
Timo Seppäläinen · 2001
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Continuum limit for some growth models
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A universality property for last-passage percolation paths close to the axis
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Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems
Gui-Qiang Chen, Nadine Even, and Christian Klingenberg · 2008
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Last passage percolation in macroscopically inhomogeneous media
Leonardo Rolla, Augusto Teixeira, et al · 2008
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TASEP with discontinuous jump rates
Nicos Georgiou, Rohini Kumar, and Timo Seppäläinen · 2010
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Quenched point-to-point free energy for random walks in random potentials
Firas Rassoul-Agha and Timo Seppäläinen · 2014
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Directed last passage percolation with discontinuous weights
Jeff Calder · 2015
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Large deviations for some corner growth models with inhomogeneity
Elnur Emrah and Chris Janjigian · 2015
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Inhomogeneous first-passage percolation
Daniel Ahlberg, Michael Damron, and Vladas Sidoravicius · 2016
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Limit shapes for inhomogeneous corner growth models with exponential and geometric weights
Elnur Emrah · 2016
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Variational formulas and cocycle solutions for directed polymer and percolation models
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The Kardar-Parisi-Zhang equation and universality class
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Quenched free energy and large deviations for random walks in random potentials
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Last passage percolation with a defect line and the solution of the slow bond problem
Riddhipratim Basu, Vladas Sidoravicius, and Allan Sly · 2014
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Nicos Georgiou, Firas Rassoul-Agha, and Timo Seppäläinen · 2016
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Inhomogeneous exponential jump model
Alexei Borodin and Leonid Petrov · 2017
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Variational formulas and disorder regimes of random walks in random potentials
Firas Rassoul-Agha, Timo Seppäläinen, and Atilla Yilmaz · 2017
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Quantitative estimates for the flux of tasep with dilute site disorder
Christophe Bahadoran and Thierry Bodineau · 2018
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