Dynamic random networks and their graph limits

DOI10.1214/15-AAP1098zbMath1342.60163MaRDI QIDQ292899

Harry Crane

Publication date: 9 June 2016

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aoap/1458651817

zbMATH Keywords

Markov processrandom graphcombinatorial stochastic processAldous-Hoover theoremdynamic random networkgraph limitpartial exchangeability

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Continuous-time Markov processes on general state spaces (60J25) Stochastic network models in operations research (90B15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Foundations of stochastic processes (60G05) Exchangeability for stochastic processes (60G09)

Related Items (8)

Exchangeable graph-valued Feller processes ⋮ RELATIVELY EXCHANGEABLE STRUCTURES ⋮ Dense multigraphon-valued stochastic processes and edge-changing dynamics in the configuration model ⋮ A sample-path large deviation principle for dynamic Erdős-Rényi random graphs ⋮ Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6--12, 2022 ⋮ Graphon-valued stochastic processes from population genetics ⋮ Two-way sparsity for time-varying networks with applications in genomics ⋮ Combinatorial Lévy processes

Cites Work

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• Limits of dense graph sequences
• An \(L^{p}\) theory of sparse graph convergence. II: LD convergence, quotients and right convergence
• Discrete temporal models of social networks
• Exchangeable graph-valued Feller processes
• Time-varying network models
• A Markovian Function of a Markov Chain

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