Fluctuations for a fully connected loss network with alternate routing

DOI10.1016/0304-4149(94)90059-0zbMath0808.60081OpenAlexW2040638458MaRDI QIDQ1338764

Carl Graham, Sylvie Méléard

Publication date: 12 March 1995

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90059-0

zbMATH Keywords

fluctuationstightnesspropagation of chaoscouplingsstrongly interacting systemGaussian martingalesrandom graphs and treesstochastic loss network

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (2)

Chaos hypothesis for a system interacting through shared resources ⋮ Ergodicity of one-dimensional resource sharing systems.

Cites Work

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• The Boltzmann equation and its applications
• Weak convergence of sequences of semimartingales with applications to multitype branching processes
• Central limit theorem for a system of Markovian particles with mean field interactions
• Propagation of chaos for a system of annihilating brownian spheres
• Smoluchowski's theory of coagulation in colloids holds rigorously in the Boltzmann-Grad-limit
• Compactness of the Fluctuations Associated with some Generalized Nonlinear Boltzmann Equations

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