On some threshold-one attractive interacting particle systems on homogeneous trees

Yingxin Mu, Yuan Zhang

Type: Preprint

Publication Date: 2018-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.1812.05274

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Citing (24)

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+	Interacting Particle Systems	2016	Thomas M. Liggett
+ PDF Chat	Intermediate Phase for the Contact Process on a Tree	1995	Rick Durrett Rinaldo B. Schinazi
+	Clustering in one-dimensional threshold voter models	1992	Enrique D. Andjel Thomas M. Liggett Thomas Mountford
+	Annihilating branching processes	1991	Maury Bramson Wanding Ding Rick Durrett
+ PDF Chat	Multiple transition points for the contact process on the binary tree	1996	Thomas M. Liggett
+ PDF Chat	A new proof that for the contact process on homogeneous trees local survival implies complete convergence	1998	Marcia Salzano Roberto H. Schonmann
+ PDF Chat	The threshold contact process: A continuum limit	1996	Mathew D. Penrose
+ PDF Chat	Asymptotic Behavior of Critical Infection Rates for Threshold-One Contact Processes on Lattices and Regular Trees	2014	Xiaofeng Xue
+ PDF Chat	The Contact Process on Trees	1992	Robin Pemantle
+ PDF Chat	The complete convergence theorem of the contact process on trees	1996	Yu Zhang
+ PDF Chat	Limit Theorems for Nonergodic Set-Valued Markov Processes	1978	David Griffeath
+ PDF Chat	The existence of an intermediate phase for the contact process on trees	1996	Alan Stacey
+ PDF Chat	The contact process on finite homogeneous trees	2001	Alan Stacey
+	The critical contact process on a homogeneous tree	1994	Gregory J. Morrow Rinaldo B. Schinazi Yu Zhang
+ PDF Chat	The Complete Convergence Theorem for Coexistent Threshold Voter Models	1999	Shirin J. Handjani
+	Growth Profile and Invariant Measures for the Weakly Supercritical Contact Process on a Homogeneous Tree	1999	Steven P. Lalley
+	On the Critical Behavior at the Lower Phase Transition of the Contact Process	2006	Michael Aizenman Paul Jung
+	Probability: Theory and Examples.	1992	Kathryn Prewitt Richard Durrett
+	On the critical infection rate of the one-dimensional basic contact process: numerical results	1988	Herbert Ziezold Christian Grillenberger
+	The contact process on finite homogeneous trees revisited	2014	Daniel Valesin Thomas Mountford Jean-Christophe Mourrat M. Cranston
+ PDF Chat	The Williams–Bjerknes model on regular trees	2014	Oren Louidor Ran J. Tessler Alexander Vandenberg‐Rodes
+ PDF Chat	The survival of large dimensional threshold contact processes	2009	Thomas Mountford Roberto H. Schonmann
+	Stochastic Interacting Systems: Contact, Voter and Exclusion Processes	1999	Thomas M. Liggett
+ PDF Chat	Convergence Rates for Subcritical Threshold-One Contact Processes on Lattices	2015	Xiaofeng Xue