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This paper is a survey of various results and techniques in first passage percolation, a random process modeling a spreading fluid on an infinite graph.
A two-dimensional growth process
Murray Eden · 1961
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Monte Carlo calculations in problems of mathematical physics
Stanislaw M. Ulam · 1961
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First-passage percolation, subadditive processes, stochastic networks, and generalized renewal theory
J. M. Hammersley and D. J. A. Welsh · 1965
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The ergodic theory of subadditive stochastic processes
J. F. C. Kingman · 1968
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A few seedlings of research
J. M. Hammersley · 1972
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Subadditive ergodic theory
J. F. C. Kingman · 1973
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Random growth in a tessellation
Daniel Richardson · 1973
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On conjectures in first passage percolation theory
John C. Wierman and Wolfgang Reh · 1978
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Some limit theorems for percolation processes with necessary and sufficient conditions
J. Theodore Cox and Richard Durrett · 1981
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The shape of the limit set in Richardson’s growth model
Richard Durrett and Thomas M. Liggett · 1981
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Nonequilibrium behaviour of a many particle process: density profile and local equilibria
H. Rost · 1981
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An improved subadditive ergodic theorem
Thomas M. Liggett · 1985
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Interacting particle systems
Thomas M. Liggett · 1985
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Aspects of first passage percolation
Harry Kesten · 1986
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Dynamic scaling of growing interfaces
Mehran Kardar, Giorgio Parisi, and Yi-Cheng Zhang · 1986
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First passage percolation: the stationary case
Daniel Boivin · 1990
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First-passage percolation on the Voronoĭ tessellation and Delaunay triangulation
Mohammad Q. Vahidi-Asl and John C. Wierman · 1990
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Fluctuations of extensive functions of quenched random couplings
Jan Wehr and Michael Aizenman · 1990
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Kinetic roughening of growing surfaces
J. Krug and H. Spohn · 1991
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A shape result for first-passage percolation on the Voronoĭ tessellation and Delaunay triangulation
Mohammad Q. Vahidi-Asl and John C. Wierman · 1992
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A note on some rates of convergence in first-passage percolation
Kenneth S. Alexander · 1993
Cited alongside, same era.
On the speed of convergence in first-passage percolation
Harry Kesten · 1993
Cited alongside, same era.
Planar first-passage percolation times are not tight
R. Pemantle and Y. Peres · 1994
Cited alongside, same era.
On Russo’s approximate zero-one law
Michel Talagrand · 1994
Cited alongside, same era.
Level-spacing distributions and the Airy kernel
Craig A. Tracy and Harold Widom · 1994
Cited alongside, same era.
Asymptotic shapes for stationary first passage percolation
Olle Häggström and Ronald Meester · 1995
Cited alongside, same era.
Shape fluctuations and random matrices
Kurt Johansson · 2000
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Transversal fluctuations for increasing subsequences on the plane
Kurt Johansson · 2000
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Geodesics and spanning trees for Euclidean first-passage percolation
C. Douglas Howard and Charles M. Newman · 2001
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Toeplitz determinants, random growth and determinantal processes
K. Johansson · 2002
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Foundations of modern probability
Olav Kallenberg · 2002
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First passage percolation has sublinear distance variance
Itai Benjamini, Gil Kalai, and Oded Schramm · 2003
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Charles M. Newman · 1995
Cited alongside, same era.
Divergence of shape fluctuations in two dimensions
Charles M. Newman and Marcelo S. T. Piza · 1995
Cited alongside, same era.
Concentration of measure and isoperimetric inequalities in product spaces
Michel Talagrand · 1995
Cited alongside, same era.
Geodesics in two-dimensional first-passage percolation
Cristina Licea and Charles M. Newman · 1996
Cited alongside, same era.
Superdiffusivity in first-passage percolation
C. Licea, C. M. Newman, and M. S. T. Piza · 1996
Cited alongside, same era.
Euclidean models of first-passage percolation
C. Douglas Howard and Charles M. Newman · 1997
Cited alongside, same era.
Limiting shape for directed percolation models
James B. Martin · 2003
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A GUE Central Limit Theorem and Universality of Directed First and Last Passage Site Percolation, 2004, arXiv:math.PR/0412369
Jinho Baik and Toufic M. Suidan · 2004
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A multi-type shape theorem for FPP models, 2004, arXiv:math.PR/0411583
Leandro P.R. Pimentel · 2004
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Coexistence in two-type first-passage percolation models
Olivier Garet and Régine Marchand · 2005
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Coexistence for Richardson type competing spatial growth models
Christopher Hoffman · 2005
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Geodesics in First Passage Percolation, 2005, arXiv:math.PR/0508114
Christopher Hoffman · 2005
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Asymptotics for first-passage times on Delaunay triangulations, 2005, arXiv:math.PR/0510605
Leandro P. R. Pimentel · 2005
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A modified Poincare inequality and its application to First Passage Percolation, 2006, arXiv:math.PR/0602496
Michel Benaïm and Raphaël Rossignol · 2006
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Exponential concentration for First Passage Percolation through modified Poincare inequalities, 2006, arXiv:math.PR/0609730
Michel Benaïm and Raphaël Rossignol · 2006
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The initial configuration is irrelevant for the possibility of mutual unbounded growth in the two-type Richardson model
Maria Deijfen and Olle Häggström · 2006
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Nonmonotonic coexistence regions for the two-type Richardson model on graphs
Maria Deijfen and Olle Häggström · 2006
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The two-type richardson model with unbounded initial configurations, 2006
Maria Deijfen and Olle Häggström · 2006
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First-passage competition with different speeds: positive density for both species is impossible, 2006, arXiv:math.PR/0608667
Olivier Garet and Régine Marchand · 2006
Later among the works it cites.