Preferential attachment when stable

DOI10.1017/apr.2019.42zbMath1427.60049arXiv1805.10653OpenAlexW3105633382WikidataQ126798495 ScholiaQ126798495MaRDI QIDQ5203976

Subhabrata Sen, Svante Janson, J. H. Spencer

Publication date: 9 December 2019

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10653

zbMATH Keywords

large deviationsurn model

Mathematics Subject Classification ID

Combinatorial probability (60C05) Large deviations (60F10) Functional limit theorems; invariance principles (60F17)

Cites Work

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• Proofs of the martingale FCLT
• Stopping times and tightness
• Gaussian-width gradient complexity, reverse log-Sobolev inequalities and nonlinear large deviations
• Exponential random graphs behave like mixtures of stochastic block models
• Decomposition of mean-field Gibbs distributions into product measures
• Conditional distributions and tightness
• Upper tails and independence polynomials in random graphs
• Nonlinear large deviations
• Random Walk: A Modern Introduction
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• Orthogonal decompositions and functional limit theorems for random graph statistics
• Gaussian Hilbert Spaces
• Connectivity Transitions in Networks with Super-Linear Preferential Attachment
• On the variational problem for upper tails in sparse random graphs
• Reinforced random walk