One dimensional 1/|j ? i| S percolation models: The existence of a transition forS?2

Charles M. Newman, L. S. Schulman

Type: Article

Publication Date: 1986-12-01

Citations: 126

DOI: https://doi.org/10.1007/bf01211064

View Publication

Locations

Communications in Mathematical Physics - View

Similar Works

Action	Title	Year	Authors
+	Discontinuity of the percolation density in one dimensional 1/\|x?y\|2 percolation models	1986	Michael Aizenman Charles M. Newman
+	Percolation in ∞ + 1 dimensions	1990	Charles M. Newman Geoffrey Grimmett
+	Phase structure of two-dimensional spin models and percolation	1992	Adrian Patrascioiu Erhard Seiler
+	First-order transitions in percolation models	1987	Fulvio Peruggi
+	An intermediate phase with slow decay of correlations in one dimensional 1/\|x?y\|2 percolation, Ising and Potts models	1988	John Imbrie Charles M. Newman
+	Continuous models of percolation theory. I	1985	S. A. Zuev Alexander Sidorenko
+	Many-body localization as percolation in d$>$1	2015	Anushya Chandran Chris R. Laumann Daniel Gottesman
+	Percolation Theory of Phase Transitions in Spin Models	1984	Chin‐Kun Hu
+	One-dimensional site percolation on a finite lattice	1980	K. R. Bauchspie�
+	Percolation transition in two-dimensional ±J Ising spin glasses	1997	Hitoshi Imaoka Hideo Ikeda Y. Kasai
+	Continuum Percolation in theskeleton graph	2012	Jean‐Michel Billiot Franck Corset Éric Fontenas
+ PDF Chat	Percolation Bootstrap percolation and kinetically constrained models : Two-dimensional universality and beyond	2022	Ivailo Hartarsky
+	The Percolation Transition	2011	Annick Lesne M. Laguës
+	Merging percolation and random graphs: Phase transition in dimension 1.	2006	Tatyana S. Turova Thomas Vallier
+	Exact Results for a One Dimensional q-state Bond-Correlated Percolation Model	1984	Chin‐Kun Hu Hong-Yuh Lee
+	Percolation I	1991	Armin Bunde Shlomo Havlin
+	Percolation I	1995	Armin Bunde Shlomo Havlin
+	Percolation I	1996	Armin Bunde Shlomo Havlin
+	Continuous models of percolation theory. II	1985	S. A. Zuev Alexander Sidorenko
+	Infinite Clusters in Locally Dependent Percolation on Z^d	2009	许忠好韩东

Works That Cite This (113)

Action	Title	Year	Authors
+ PDF Chat	Spatial Gibbs random graphs	2018	Jean-Christophe Mourrat Daniel Valesin
+ PDF Chat	$\omega$-Periodic Graphs	2005	Itaı Benjamini Christopher Hoffman
+ PDF Chat	Long-range contact process and percolation on a random lattice	2022	Pablo Almeida Gomes Bernardo N. B. de Lima
+ PDF Chat	On the scaling of the chemical distance in long-range percolation models	2004	Marek Biskup
+ PDF Chat	Percolation and Epidemic Processes in One-Dimensional Small-World Networks	2022	Luca Becchetti Andrea Clementi Riccardo Denni Francesco Pasquale Luca Trevisan Isabella Ziccardi
+	A lower bound for the chemical distance in sparse long-range percolation models	2004	Noam Berger
+ PDF Chat	The phase transition in inhomogeneous random graphs	2007	Béla Bollobás Svante Janson Oliver Riordan
+	Discontinuity of the percolation density in one dimensional 1/\|x?y\|2 percolation models	1986	Michael Aizenman Charles M. Newman
+	Phase Transitions in Partially Structured Random Graphs	2008	Oskar J. Sandberg
+ PDF Chat	Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman	2019	Federico Camia D. L. Stein

Works Cited by This (8)

Action	Title	Year	Authors
+	Discontinuity of the percolation density in one dimensional 1/\|x?y\|2 percolation models	1986	Michael Aizenman Charles M. Newman
+	Infinite clusters in percolation models	1981	Charles M. Newman L. S. Schulman
+	Long-range percolation in one dimension	1983	Zixuan Zhang Fei Pu B Z Li
+ PDF Chat	On a sharp transition from area law to perimeter law in a system of random surfaces	1983	Michael Aizenman Jennifer Chayes L. Chayes J. Fr�hlich Lucio Russo
+	Exact Results in the Kondo Problem. II. Scaling Theory, Qualitatively Correct Solution, and Some New Results on One-Dimensional Classical Statistical Models	1970	Philip W. Anderson G. Yuval D. R. Hamann
+ PDF Chat	Existence of a phase-transition in a one-dimensional Ising ferromagnet	1969	Freeman J. Dyson
+ PDF Chat	The phase transition in the one-dimensional Ising Model with 1/r 2 interaction energy	1982	Jürg Fröhlich Thomas Spencer
+	On the connectedness of a random graph	1984	Geoffrey Grimmett Michaël Keane J. M. Marstrand