Connecting probability for random bounded-range one-dimensional network

DOI10.1007/s11565-024-00508-6MaRDI QIDQ6630759

Lorenzo Federico

Publication date: 31 October 2024

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

zbMATH Keywords

random graphsconnectivityone-dimensional networkspread-out percolation

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• The critical probability of bond percolation on the square lattice equals 1/2
• On the spread-out limit for bond and continuum percolation
• Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
• Beitrag zur Theorie des Ferromagnetismus
• Connectivity of Poissonian inhomogeneous random multigraphs
• Structural Complexity of One-Dimensional Random Geometric Graphs

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