Spin Systems on Bethe Lattices

Amin Coja‐Oghlan, Will Perkins

Type: Article

Publication Date: 2019-08-12

Citations: 16

DOI: https://doi.org/10.1007/s00220-019-03544-y

View Publication

Download PDF

Locations

Communications in Mathematical Physics - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Bethe States of Random Factor Graphs	2019	Amin Coja‐Oghlan Will Perkins
+	Bethe states of random factor graphs	2017	Amin Coja‐Oghlan Will Perkins
+	Bethe states of random factor graphs	2017	Amin Coja‐Oghlan Will Perkins
+	Belief propagation for interacting quantum systems on sparse graphs	2007	David Poulin Ersen Bilgin
+	Complexity of Bethe Approximation	2011	Jinwoo Shin
+	Complexity of Bethe Approximation	2012	Jinwoo Shin
+ PDF Chat	Belief propagation algorithm for computing correlation functions in finite-temperature quantum many-body systems on loopy graphs	2008	David Poulin Ersen Bilgin
+	Random walks on the Bethe lattice	1982	Barry D. Hughes Muhammad Sahimi
+ PDF Chat	The Complexity of Approximating a Bethe Equilibrium	2014	Jinwoo Shin
+	The Complexity of Approximating a Bethe Equilibrium	2011	Jinwoo Shin
+ PDF Chat	Improved belief propagation algorithm finds many Bethe states in the random-field Ising model on random graphs	2018	Giovanna Perugini Federico Ricci‐Tersenghi
+	Statistical mechanics of a Bethe lattice	1984	K.G. Chakraborty
+	A closure for the Master Equation starting from the Dynamic Cavity Method	2022	Erik Aurell David Machado Roberto Mulet
+	Anderson Localization on the Bethe Lattice	2023	Saverio Pascazio Antonello Scardicchio Marco Tarzia
+	Approximating the Bethe partition function	2014	Adrian Weller Tony Jebara
+ PDF Chat	Belief propagation, bethe approximation and polynomials	2017	Damian Straszak Nisheeth K. Vishnoi
+	The random field Blume-Capel model on the Bethe lattice	2020	Erhan Albayrak
+	Fast Convergence of Belief Propagation to Global Optima: Beyond Correlation Decay	2019	Frederic Koehler
+	Local Max-Entropy and Free Energy Principles Solved by Belief Propagation	2022	Olivier Peltre
+	Delocalization and ergodicity of the Anderson model on Bethe lattices	2018	Giulio Biroli Marco Tarzia

Works That Cite This (11)

Action	Title	Year	Authors
+ PDF Chat	The Ising Antiferromagnet and Max Cut on Random Regular Graphs	2022	Amin Coja‐Oghlan Philipp Loick Balázs F. Mezei Gregory B. Sorkin
+ PDF Chat	Typicality and entropy of processes on infinite trees	2022	Ágnes Backhausz Charles Bordenave Balázs Szegedy
+ PDF Chat	Free energy of a diluted spin glass model with quadratic Hamiltonian	2022	Ratul Biswas Wei–Kuo Chen Arnab Sen
+ PDF Chat	Improved Replica Bounds for the Independence Ratio of Random Regular Graphs	2023	Viktor Harangi
+ PDF Chat	The Cut Metric for Probability Distributions	2021	Amin Coja‐Oghlan Max Hahn‐Klimroth
+ PDF Chat	Large discrete structures : statistical inference, combinatorics and limits	2021	Maximilian Grischa Hahn-Klimroth
+	The cut metric for probability distributions	2019	Amin Coja‐Oghlan Max Hahn‐Klimroth
+ PDF Chat	Lower Bounds on the Chromatic Number of Random Graphs	2021	Peter Ayre Amin Coja‐Oghlan Catherine Greenhill
+ PDF Chat	The rank of sparse random matrices	2022	Amin Coja‐Oghlan Alperen A. Ergür Pu Gao Samuel Hetterich Maurice Rolvien
+ PDF Chat	The rank of sparse random matrices	2019	Amin Coja‐Oghlan Alperen A. Ergür Pu Gao Samuel Hetterich Maurice Rolvien

Works Cited by This (60)

Action	Title	Year	Authors
+	Graph limits and exchangeable random graphs	2007	Persi Diaconis Svante Janson
+	Mean Field Models for Spin Glasses	2011	Michel Talagrand
+ PDF Chat	Reconstruction and estimation in the planted partition model	2014	Elchanan Mossel Joseph Neeman Allan Sly
+ PDF Chat	The two possible values of the chromatic number of a random graph	2005	Dimitris Achlioptas Assaf Naor
+	Combinatorial approach to the interpolation method and scaling limits in sparse random graphs	2013	Mohsen Bayati David Gamarnik Prasad Tetali
+	The hard-core model on random graphs revisited	2013	Jean Barbier Florent Krząkała Lenka Zdeborová Pan Zhang
+ PDF Chat	The Bethe lattice spin glass revisited	2001	Marc Mézard Giorgio Parisi
+	Spin glass models from the point of view of spin distributions	2013	Dmitry Panchenko
+	Quick Approximation to Matrices and Applications	1999	Alan Frieze Ravi Kannan
+ PDF Chat	Solution of the Monomer–Dimer Model on Locally Tree-Like Graphs. Rigorous Results	2014	Diego Alberici Pierluigi Contucci