On forest expansions for two-body partition functions on tree-like interaction graphs

DOI10.1016/j.physa.2022.128345OpenAlexW4310255153MaRDI QIDQ2111636

Francesco Caravelli

Publication date: 17 January 2023

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.00113

zbMATH Keywords

statistical mechanicsbelief propagationforest expansiontwo body interactions

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• The \(1/N\) expansion of colored tensor models
• Ising models on locally tree-like graphs
• Loop calculus in statistical physics and information science
• Loop series for discrete statistical models on graphs
• The Bethe Free Energy Allows to Compute the Conditional Entropy of Graphical Code Instances: A Proof From the Polymer Expansion
• Scaling behavior of three-dimensional group field theory
• Information, Physics, and Computation
• Ising spin glass models versus Ising models: an effective mapping at high temperature: I. General result
• Ising spin glass models versus Ising models: an effective mapping at high temperature: II. Applications to graphs and networks
• Message passing on networks with loops
• Ising spin glass models versus Ising models: an effective mapping at high temperature: III. Rigorous formulation and detailed proof for general graphs
• Statistical theory of superlattices

This page was built for publication: On forest expansions for two-body partition functions on tree-like interaction graphs