Marginal dynamics of interacting diffusions on unimodular Galton-Watson trees
DOI10.1007/s00440-023-01226-4arXiv2009.11667MaRDI QIDQ6070367
Ruoyu Wu, Daniel Lacker, Kavita Ramanan
Publication date: 20 November 2023
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.11667
random graphsunimodularityMarkov random fieldssparse graphslocal weak convergencemean-field limitsnonlinear Markov processesconfiguration modelinteracting diffusionsErdős-Rényi graphs
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mimicking an Itō process by a solution of a stochastic differential equation
- A note on dynamical models on random graphs and Fokker-Planck equations
- Gibbs measures and phase transitions.
- Macroscopic limits for stochastic partial differential equations of McKean-Vlasov type
- Gibbs measures and phase transitions on sparse random graphs
- Mimicking the one-dimensional marginal distributions of processes having an Ito differential
- Examples of extremal lattice fields without the global Markov property
- Arbres et processus de Galton-Watson. (Trees and Galton-Watson processes)
- Some examples concerning the global Markov property
- Weak limit theorems for stochastic integrals and stochastic differential equations
- Particle representations for a class of nonlinear SPDEs
- Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
- Locally interacting diffusions as Markov random fields on path space
- Directed chain stochastic differential equations
- Weakly interacting particle systems on inhomogeneous random graphs
- When is sync globally stable in sparse networks of identical Kuramoto oscillators?
- Interacting diffusions on sparse graphs: hydrodynamics from local weak limits
- Quenched asymptotics for interacting diffusions on inhomogeneous random graphs
- Interacting diffusions on random graphs with diverging average degrees: hydrodynamics and large deviations
- The continuum limit of the Kuramoto model on sparse random graphs
- Processes on unimodular random networks
- Convergence results for conditional expectations
- A weak convergence criterion for constructing changes of measure
- Random Graphs and Complex Networks
- Dynamical Processes on Complex Networks
- A law of large numbers and large deviations for interacting diffusions on Erdős–Rényi graphs
- Local weak convergence for sparse networks of interacting processes
This page was built for publication: Marginal dynamics of interacting diffusions on unimodular Galton-Watson trees