A functional central limit theorem for SI processes on configuration model graphs

DOI10.1017/apr.2022.52zbMath1503.60041OpenAlexW4294692208WikidataQ114119632 ScholiaQ114119632MaRDI QIDQ5055332

Casper Woroszylo, Heinz Koeppl, Wasiur R. KhudaBukhsh, Grzegorz A. Rempała

Publication date: 13 December 2022

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

Full work available at URL: https://doi.org/10.1017/apr.2022.52

zbMATH Keywords

scaling limitrandom graphsconfiguration modelfunctional CLTsusceptible-infected epidemic process

Mathematics Subject Classification ID

Epidemiology (92D30) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Towards inferring network properties from epidemic data ⋮ Central limit theorems in the configuration model ⋮ A stochastic SIR network epidemic model with preventive dropping of edges

Cites Work

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• Approximating the epidemic curve
• Large graph limit for an SIR process in random network with heterogeneous connectivity
• Diffusion and cascading behavior in random networks
• A note on a paper by Erik Volz: SIR dynamics in random networks
• Fixed speed competition on the configuration model with infinite variance degrees: unequal speeds
• SIR dynamics in random networks with heterogeneous connectivity
• Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction
• Contact processes on random graphs with power law degree distributions have critical value 0
• Limit theorems for a random graph epidemic model
• Central limit theorems in the configuration model
• A general model for stochastic SIR epidemics with two levels of mixing
• First passage percolation on random graphs with finite mean degrees
• Dynamics of stochastic epidemics on heterogeneous networks
• A decomposition theorem for supermartingales
• Universality for first passage percolation on sparse random graphs
• Random Graphs and Complex Networks
• Emergence of Scaling in Random Networks
• First Passage Percolation on the Erdős–Rényi Random Graph
• SIR epidemics on random graphs with a fixed degree sequence
• The large graph limit of a stochastic epidemic model on a dynamic multilayer network
• Percolation
• Dynamical Processes on Complex Networks
• A new approach to the giant component problem
• Central limit theorems for local martingales
• The Size of the Giant Component of a Random Graph with a Given Degree Sequence
• A critical point for random graphs with a given degree sequence
• Law of large numbers for the SIR epidemic on a random graph with given degrees
• On the Limit Behaviour of Extreme Order Statistics
• Probability
• Statistical models based on counting processes

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