The shape theorem for the frog model

O. S. M. Alves, Fábio P. Machado, Serguei Popov

Type: Article

Publication Date: 2002-05-01

Citations: 122

DOI: https://doi.org/10.1214/aoap/1026915614

View Publication

Locations

The Annals of Applied Probability - View

Similar Works

Action	Title	Year	Authors
+	The shape theorem for the frog model with random initial configuration	2001	O. S. M. Alves Fábio P. Machado Serguei Popov K. Ravishankar
+	The shape theorem for the frog model	2001	O. S. M. Alves Fábio P. Machado Slavcho Popov
+	The shape theorem for the frog model	2001	O. S. M. Alves Fábio P. Machado
+	Asymptotic behavior of the Brownian frog model	2018	Erin Beckman Emily Dinan Rick Durrett Ran Huo Matthew Junge
+	Continuous-time frog model can spread arbitrary fast	2020	Viktor Bezborodov Luca Di Persio Tyll Krueger
+ PDF Chat	The continuous-time frog model can spread arbitrarily fast	2021	Viktor Bezborodov Luca Di Persio Tyll Krueger
+	Asymptotic behavior of the Brownian frog model	2017	Erin Beckman Emily Dinan Rick Durrett Ran Huo Matthew Junge
+	Asymptotic behavior of the Brownian frog model	2017	Erin Beckman Emily Dinan Rick Durrett Ran Huo Matthew Junge
+	Continuity for the asymptotic shape in the frog model with random initial configurations	2020	Naoki Kubota
+	Competing frogs on $\mathbb{Z}^d$	2019	Maria Deijfen Timo Hirscher Fábio Lopes
+	Competing frogs on $\mathbb{Z}^d$	2019	Maria Deijfen Timo Hirscher Fábio Lopes
+	Explosion and non-explosion for the continuous-time frog model	2022	Viktor Bezborodov Luca Di Persio Peter Kuchling
+ PDF Chat	Deviation bounds for the first passage time in the frog model	2019	Naoki Kubota
+	Competing frogs on ${\mathbb Z}^{d}$	2019	Maria Deijfen Timo Hirscher Fábio Lopes
+	The frog model on Galton-Watson trees	2019	Marcus Michelen Josh Rosenberg
+ PDF Chat	Phase Transition for the Frog Model	2002	O. S. M. Alves Fábio P. Machado Serguei Popov
+ PDF Chat	Recurrence for the frog model with drift on $\mathbb{Z}^d$	2014	Christian Döbler Lorenz Pfeifroth
+	Active Phase for Activated Random Walk on Z	2020	Christopher Hoffman Jacob Richey Leonardo T. Rolla
+	Active Phase for Activated Random Walk on Z	2020	Christopher Hoffman Jacob Richey Leonardo T. Rolla
+ PDF Chat	The frog model on Galton–Watson trees	2024	Marcus Michelen Josh Rosenberg

Works That Cite This (113)

Action	Title	Year	Authors
+	Continuity for the asymptotic shape in the frog model with random initial configurations	2020	Naoki Kubota
+ PDF Chat	On an epidemic model on finite graphs	2020	Itaı Benjamini Luiz Renato Fontes Jonathan Hermon Fábio P. Machado
+ PDF Chat	Rapid social connectivity	2019	Itaı Benjamini Jonathan Hermon
+ PDF Chat	Critical Percolation and A+B$$\rightarrow $$2A Dynamics	2020	Matthew Junge
+ PDF Chat	The social network model on infinite graphs	2020	Jonathan Hermon Ben Morris Chuan Qin Allan Sly
+ PDF Chat	The frog model on non-amenable trees	2020	Marcus Michelen Josh Rosenberg
+ PDF Chat	Criticality of a Randomly-Driven Front	2019	Amir Dembo Li-Cheng Tsai
+ PDF Chat	A shape theorem for exploding sandpiles	2024	Ahmed Bou-Rabee
+ PDF Chat	A problem in one-dimensional diffusion-limited aggregation (DLA) and positive recurrence of Markov chains	2008	Harry Kesten Vladas Sidoravičius
+ PDF Chat	Brownian snails with removal: epidemics in diffusing populations	2022	Geoffrey Grimmett Zhongyang Li

Works Cited by This (7)

Action	Title	Year	Authors
+	None	2001	Serguei Popov
+ PDF Chat	The Shape of the Limit Set in Richardson's Growth Model	1981	Richard Durrett Thomas M. Liggett
+ PDF Chat	An Improved Subadditive Ergodic Theorem	1985	Thomas M. Liggett
+ PDF Chat	Large Deviations of Sums of Independent Random Variables	1979	S. V. Nagaev
+	On the Williams-Bjerknes tumour growth model: II	1980	Maury Bramson David Griffeath
+	Branching and tree indexed random walks on fractals	1999	András Telcs Nicholas Wormald
+ PDF Chat	Contact processes in several dimensions	1982	Richard Durrett David Griffeath