A Point Process Describing the Component Sizes in the Critical Window of the Random Graph Evolution

DOI10.1017/S0963548306008327zbMath1136.05069arXivmath/0505529OpenAlexW2154654198MaRDI QIDQ5437236

Svante Janson, J. H. Spencer

Publication date: 18 January 2008

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505529

zbMATH Keywords

point processrandom measurelarge componentsRandom graph evolution

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Random measures (60G57) Connectivity (05C40) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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The continuum limit of critical random graphs ⋮ On the Length of a Random Minimum Spanning Tree ⋮ On the critical probability in percolation ⋮ Critical random forests ⋮ Critical random graphs and the structure of a minimum spanning tree ⋮ Critical epidemics, random graphs, and Brownian motion with a parabolic drift ⋮ Susceptibility in subcritical random graphs

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