Percolation and minimal spanning trees

DOI10.1023/A:1023092317419zbMath0963.82020OpenAlexW1810558607MaRDI QIDQ1806383

Geoffrey R. Grimmett, Armin Löffler, Carol Bezuidenhout

Publication date: 5 July 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023092317419

zbMATH Keywords

free energypercolationcritical valueminimal spanning tree

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (5)

Weak laws of large numbers in geometric probability ⋮ Smoothness and monotonicity of the excursion set density of planar Gaussian fields ⋮ Connected spatial networks over random points and a route-length statistic ⋮ From lattice long-range percolation to the continuum one. ⋮ Russo's Formula, Uniqueness of the Infinite Cluster, and Continuous Differentiability of Free Energy for Continuum Percolation

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