Finite and infinite systems of interacting diffusions
From MaRDI portal
Publication:1900234
DOI10.1007/BF01204213zbMath0836.60106OpenAlexW2070078251MaRDI QIDQ1900234
Tokuzo Shiga, Andreas Greven, J. Theodore Cox
Publication date: 30 October 1995
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01204213
invariant measuresinfinite systems of locally interacting componentslinearly interacting diffusionsmixtures of the invariant measures for the infinite system
Related Items
On the attracting orbit of a nonlinear transformation arising from renormalization of hierarchically interacting diffusions. II: The non-compact case ⋮ Finite and infinite systems of interacting diffusions ⋮ Comparison of interacting diffusions and an application to their ergodic theory ⋮ Multilevel bilinear systems of stochastic differential equations ⋮ Spatial populations with seed-bank: finite-systems scheme ⋮ Different clustering regimes in systems of hierarchically interacting diffusions ⋮ Systemic Risk in Interbanking Networks ⋮ Coupling in the theory of interacting systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A certain class of infinite dimensional diffusion processes arising in population genetics
- Stochastic partial differential equations for some measure-valued diffusions
- Stationary states and their stability of the stepping stone model involving mutation and selection
- Central limit theorem for an infinite lattice system of interacting diffusion processes
- Diffusive clustering in the two dimensional voter model
- On the long term behavior of some finite particle systems
- Infinite dimensional stochastic differential equations and their applications
- Convergence to genetically uniform state in stepping stone models of population genetics
- An interacting system in population genetics. I
- An interacting system in population genetics. II
- Stopping times and tightness. II
- Algebraic \(L^ 2\) decay of attractive critical processes on the lattice
- Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation
- Diffusive clustering in an infinite system of hierarchically interacting diffusions
- Multiple time scale analysis of interacting diffusions
- Ergodic theorems for infinite systems of locally interacting diffusions
- Coalescing random walks and voter model consensus times on the torus in \({\mathbb{Z}}^ d\)
- Finite and infinite systems of interacting diffusions
- Ergodic theorems and exponential decay of sample paths for certain interacting diffusion systems
- On the uniqueness of solutions of stochastic differential equations
- Random Walks on Lattices. II
- An infinite particle system with additive interactions
- Ergodic theorems for coupled random walks and other systems with locally interacting components
This page was built for publication: Finite and infinite systems of interacting diffusions
