A first order phase transition in the threshold <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>θ</mml:mi><mml:mo>≥</mml:mo><mml:mn>2</mml:mn></mml:math> contact process on random <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>r</mml:mi></mml:math>-regular graphs and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.gif" display="inline" …

Similar Works

Action	Title	Year	Authors
+	A first order phase transition in the threshold-$θ\ge 2$ contact process on random $r$-regular graphs and $r$-trees	2010	Shirshendu Chatterjee Rick Durrett
+	A first order phase transition in the threshold-$\theta\ge 2$ contact process on random $r$-regular graphs and $r$-trees	2010	Shirshendu Chatterjee Rick Durrett
+	The threshold-two contact process on a random r-regular graph has a first order phase transition	2010	Shirshendu Chatterjee
+	A discontinuous phase transition in the threshold-$θ\geq 2$ contact process on random graphs	2019	Danny Nam
+	A discontinuous phase transition in the threshold-$\theta \geq 2$ contact process on random graphs	2019	Danny Nam
+	Threshold Phenomena for Random Discrete Structures	2023	Jinyoung Park
+	Threshold and hitting time for high-order connectivity in random hypergraphs	2015	Oliver Cooley Mihyun Kang Christoph Koch
+ PDF Chat	Random-Cluster Dynamics on Random Regular Graphs in Tree Uniqueness	2021	Antonio Blanca Reza Gheissari
+ PDF Chat	The connectivity and phase transition in inhomogeneous random graphs of finite types	2024	H. Jung
+ PDF Chat	Threshold and Hitting Time for High-Order Connectedness in Random Hypergraphs	2016	Oliver Cooley Mihyun Kang Christoph Koch
+	Vacant sets and vacant nets: Component structures induced by a random walk	2014	Colin Cooper Alan Frieze
+	Vacant sets and vacant nets: Component structures induced by a random walk	2014	Colin Cooper Alan Frieze
+	The semi-random tree process	2022	Sofiya Burova Lyuben Lichev
+	Phase transition of the contact process on random regular graphs	2014	Jean-Christophe Mourrat Daniel Valesin
+	The contact process on random graphs	2024	Daniel Valesin
+ PDF Chat	Phase transition of the contact process on random regular graphs	2016	Jean-Christophe Mourrat Daniel Valesin
+	Phase transition of the contact process on random regular graphs	2014	Jean-Christophe Mourrat Daniel Valesin
+	Large induced subgraphs of random graphs with given degree sequences	2023	Angus Southwell Nicholas Wormald
+	The phase transition in random graphs and random graph processes	2007	Taral Guldahl Seierstad
+	The threshold probability for the property of planarity of a random subgraph of a regular graph	2015	Anton Valer'evich Burkin

Cited by (11)

Action	Title	Year	Authors
+ PDF Chat	Discontinuous Phase Transitions in Nonlocal Schloegl Models for Autocatalysis: Loss and Reemergence of a Nonequilibrium Gibbs Phase Rule	2018	Da-Jiang Liu Chi‐Jen Wang James W. Evans
+	Phase transitions for a planar quadratic contact process	2013	Mariya Bessonov Richard Durrett
+ PDF Chat	Contact processes on random regular graphs	2017	Steven P. Lalley Wei Su
+ PDF Chat	Phase transitions in the quadratic contact process on complex networks	2013	Chris Varghese Rick Durrett
+	On the complete convergence of some threshold-one attractive interacting particle systems on homogeneous trees	2018	Yingxin Mu Yuan Zhang
+	Generic two-phase coexistence in a type-2 Schloegl model for autocatalysis on a square lattice: Analysis via heterogeneous master equations	2023	Zheren Shen Da‐Jiang Liu James W. Evans
+	Phase transitions in Schloegl's second model for autocatalysis on a Bethe lattice	2021	Da‐Jiang Liu Chi‐Jen Wang James W. Evans
+ PDF Chat	Extended families of critical and stationary droplets for nonequilibrium phase transitions in spatially discrete bistable systems	2020	Chi‐Jen Wang Da‐Jiang Liu James W. Evans
+	Phase transitions for a planar quadratic contact process	2017	Mariya Bessonov Richard Durrett
+	A discontinuous phase transition in the threshold-$\theta \geq 2$ contact process on random graphs	2019	Danny Nam
+	The Zealot Voter Model	2018	Ran Huo Rick Durrett

Citing (21)

Action	Title	Year	Authors
+	Interacting Particle Systems	2016	Thomas M. Liggett
+	Random graph dynamics	2007	Richard Durrett
+ PDF Chat	Particle Systems and Reaction-Diffusion Equations	1994	Rick Durrett Claudia Neuhauser
+ PDF Chat	Quadratic Contact Process: Phase Separation with Interface-Orientation-Dependent Equistability	2007	Da‐Jiang Liu Xiaofang Guo J. W. Evans
+	The Isoperimetric Number of Random Regular Graphs	1988	Béla Bollobás
+	Monte Carlo simulations for Schlögl's second model	1981	Peter Grassberger
+	The Importance of Being Discrete (and Spatial)	1994	Rick Durrett Simon A. Levin
+ PDF Chat	Threshold θ ≥ 2 contact processes on homogeneous trees	2007	Luiz Renato Fontes Roberto H. Schonmann
+ PDF Chat	On the Stability of a Population Growth Model with Sexual Reproduction on $Z^d, d \geq 2$	1994	Hwa-Nien Chen
+ PDF Chat	Cutoff phenomena for random walks on random regular graphs	2010	Eyal Lubetzky Allan Sly
+ PDF Chat	Coexistence in Threshold Voter Models	1994	Thomas M. Liggett
+	Bootstrap percolation on the random regular graph	2006	József Balogh Boris Pittel
+	Bootstrap Percolation on Homogeneous Trees Has 2 Phase Transitions	2008	Luiz Renato Fontes Roberto H. Schonmann
+	None	1997	Shirin J. Handjani
+ PDF Chat	Contact processes on random graphs with power law degree distributions have critical value 0	2009	Shirshendu Chatterjee Rick Durrett
+ PDF Chat	The survival of large dimensional threshold contact processes	2009	Thomas Mountford Roberto H. Schonmann
+	On phase transitions in Schl�gl's second model	1982	Peter Grassberger
+ PDF Chat	On the Stability of a Population Growth Model with Sexual Reproduction on $Z^2$	1992	Hwa-Nien Chen
+	Stochastic Interacting Systems: Contact, Voter and Exclusion Processes	1999	Thomas M. Liggett
+ PDF Chat	Some peculiar properties of a particle system with sexual reproduction	1986	Richard Durrett
+ PDF Chat	Coexistence in stochastic spatial models	2009	Rick Durrett