Replica-mean-field limits of fragmentation-interaction-aggregation processes

DOI10.1017/JPR.2021.31zbMath1492.60262OpenAlexW3024952466MaRDI QIDQ5067210

Thibaud Taillefumier, François Baccelli, Michel Davydov

Publication date: 1 April 2022

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

Full work available at URL: https://doi.org/10.1017/jpr.2021.31

zbMATH Keywords

neural networkMarkov processpoint processmean-field theoryHawkes processqueuing networkreplica modelPoisson hypothesis

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (1)

Metastability in a stochastic system of spiking neurons with leakage

Cites Work

• Unnamed Item
• Unnamed Item
• Hawkes processes on large networks
• Infinite systems of interacting chains with memory of variable length -- a stochastic model for biological neural nets
• On the dynamics of random neuronal networks
• A discrete time neural network model with spiking neurons
• Propagation of chaos and Poisson hypothesis
• Hydrodynamic limit for interacting neurons
• Limit theorems for discrete Hawkes processes
• Spin-glass theory for pedestrians
• The Pair-Replica-Mean-Field Limit for Intensity-based Neural Networks
• Replica-Mean-Field Limits for Intensity-Based Neural Networks

This page was built for publication: Replica-mean-field limits of fragmentation-interaction-aggregation processes