Long time dynamics for interacting oscillators on graphs

DOI10.1214/21-AAP1680zbMath1487.82015arXiv1908.01520MaRDI QIDQ2117446

Fabio Coppini

Publication date: 21 March 2022

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

Full work available at URL: https://arxiv.org/abs/1908.01520

zbMATH Keywords

stochastic partial differential equationsrandom graphslong time dynamicsGrothendieck's inequalityinteracting oscillatorsself-normalized processescut-norm

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) PDEs with randomness, stochastic partial differential equations (35R60) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Vlasov equations (35Q83)

Related Items

A note on Fokker-Planck equations and graphons ⋮ Stationarity and uniform in time convergence for the graphon particle system ⋮ Multivariate Hawkes processes on inhomogeneous random graphs ⋮ Synchronization in a Kuramoto mean field game ⋮ Graphon particle system: uniform-in-time concentration bounds ⋮ The Kuramoto model on dynamic random graphs ⋮ Long-term stability of interacting Hawkes processes on random graphs ⋮ Central limit theorems for global and local empirical measures of diffusions on Erdős-Rényi graphs ⋮ Graphon mean field systems ⋮ Weakly interacting oscillators on dense random graphs

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