Interacting diffusions on random graphs with diverging average degrees: hydrodynamics and large deviations
From MaRDI portal
Publication:2328693
DOI10.1007/s10955-019-02332-1zbMath1421.05081arXiv1807.06898OpenAlexW3100130766WikidataQ101496279 ScholiaQ101496279MaRDI QIDQ2328693
Guilherme Reis, Roberto Imbuzeiro Oliveira
Publication date: 10 October 2019
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.06898
Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Density (toughness, etc.) (05C42)
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 ⋮ Stability of clusters in the second-order Kuramoto model on random graphs ⋮ A Case Study on Stochastic Games on Large Graphs in Mean Field and Sparse Regimes ⋮ Marginal dynamics of interacting diffusions on unimodular Galton-Watson trees ⋮ Mean-Field Approximations for Stochastic Population Processes with Heterogeneous Interactions ⋮ Stationary solutions and local equations for interacting diffusions on regular trees ⋮ Graphon particle system: uniform-in-time concentration bounds ⋮ The Kuramoto model on dynamic random graphs ⋮ Local weak convergence for sparse networks of interacting processes ⋮ Interacting stochastic processes on sparse random graphs ⋮ Two-community noisy Kuramoto model ⋮ Central limit theorems for global and local empirical measures of diffusions on Erdős-Rényi graphs ⋮ Open Problem—Weakly Interacting Particle Systems on Dense Random Graphs ⋮ Graphon mean field systems ⋮ Large deviations for mean field model in Erdős-Rényi graph ⋮ Weakly interacting oscillators on dense random graphs ⋮ Interacting diffusions on sparse graphs: hydrodynamics from local weak limits ⋮ Fast Non-mean-field Networks: Uniform in Time Averaging ⋮ Mean field interaction on random graphs with dynamically changing multi-color edges ⋮ A law of large numbers and large deviations for interacting diffusions on Erdős–Rényi graphs ⋮ The large deviation principle for interacting dynamical systems on random graphs ⋮ Long time dynamics for interacting oscillators on graphs ⋮ Large deviations for interacting diffusions with path-dependent McKean-Vlasov limit
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Transition from Gaussian to non-Gaussian fluctuations for mean-field diffusions in spatial interaction
- A note on dynamical models on random graphs and Fokker-Planck equations
- Quenched limits and fluctuations of the empirical measure for plane rotators in random media.
- Large deviation properties of weakly interacting processes via weak convergence methods
- Community detection in sparse networks via Grothendieck's inequality
- Mean field limit for disordered diffusions with singular interactions
- Limits of dense graph sequences
- Generalising the Kuramoto model for the study of neuronal synchronisation in the brain
- Nonlinear diffusion with jumps
- McKean-Vlasov limit for interacting random processes in random media.
- The mean field analysis of the Kuramoto model on graphs. I: The mean field equation and transition point formulas
- Large deviations, dynamics and phase transitions in large stochastic and disordered neural networks
- Interacting diffusions on sparse graphs: hydrodynamics from local weak limits
- Quenched large deviations for interacting diffusions in random media
- Bifurcations in the Kuramoto model on graphs
- Large deviations for randomly connected neural networks: I. Spatially extended systems
- Large deviations for randomly connected neural networks: II. State-dependent interactions
- A law of large numbers and large deviations for interacting diffusions on Erdős–Rényi graphs
