On the continuity of the time constant of first-passage percolation

J. Theodore Cox, Harry Kesten

Type: Article

Publication Date: 1981-12-01

Citations: 34

DOI: https://doi.org/10.2307/3213056

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Locations

Journal of Applied Probability - View

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Works That Cite This (32)

Action	Title	Year	Authors
+	Continuity for the asymptotic shape in the frog model with random initial configurations	2020	Naoki Kubota
+	Aspects of first passage percolation	2006	Harry Kesten
+ PDF Chat	The Time Constant Vanishes Only on the Percolation Cone in Directed First Passage Percolation	2009	Yu Zhang
+ PDF Chat	Strict inequalities for the time constant in first passage percolation	2002	Régine Marchand
+	Continuity of the time and isoperimetric constants in supercritical percolation	2017	Olivier Garet Régine Marchand Eviatar B. Procaccia Marie Théret
+	Existence and continuity of the flow constant in first passage percolation	2018	Raphaël Rossignol Marie Théret
+ PDF Chat	Lipschitz-continuity of time constant in generalized First-passage percolation	2024	Van Hao Can Shuta Nakajima Van Quyet Nguyen
+ PDF Chat	Epidemic Automaton and the Eden Model: Various Aspects of Robustness	2018	Lucas Gerin
+	On the infinite differentiability of the right edge in the supercritical oriented percolation	2004	Yu Zhang
+ PDF Chat	Limiting Results for the Free Energy of Directed Polymers in Random Environment with Unbounded Jumps	2015	Francis Comets Ryoki Fukushima Shuta Nakajima Nobuo Yoshida

Works Cited by This (10)

Action	Title	Year	Authors
+	An upper bound for the velocity of first-passage percolation	1981	Svante Janson
+	The critical probability of bond percolation on the square lattice equals 1/2	1980	Harry Kesten
+ PDF Chat	First-Passage Percolation on the Square Lattice	1978	R. T. Smythe John C. Wierman
+ PDF Chat	On Conjectures in First Passage Percolation Theory	1978	John C. Wierman Wolfgang Reh
+ PDF Chat	Some Limit Theorems for Percolation Processes with Necessary and Sufficient Conditions	1981	J. Theodore Cox Richard Durrett
+	Weak moment conditions for time coordinates in first-passage percolation models	1980	John C. Wierman
+	On the asymptotic geometrical behaviour of percolation processes	1980	Klaus Schürger
+	First-passage percolation under weak moment conditions	1979	Wolfgang Reh
+	On the time constant and path length of first-passage percolation	1980	Harry Kesten
+	The time constant of first-passage percolation on the square lattice	1980	J. Theodore Cox