Local cluster-size statistics in the critical phase of bond percolation on the Cayley tree

DOI10.1088/1742-5468/2016/05/053202zbMath1456.82379arXiv1602.00803OpenAlexW3102845298MaRDI QIDQ3302647

Koji Nemoto, Takehisa Hasegawa, Tomoaki Nogawa

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00803

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43)

Related Items (1)

Renormalization-group theory of the abnormal singularities at the critical-order transition in bond percolation on pointed hierarchical graphs

Cites Work

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• Continuity of percolation probability on hyperbolic graphs
• Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
• Percolation in the hyperbolic plane
• Phase transitions on nonamenable graphs
• Some Cluster Size and Percolation Problems
• Monte Carlo simulation study of the two-stage percolation transition in enhanced binary trees
• Cut sets and normed cohomology with applications to percolation
• The Structure and Function of Complex Networks

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