A hierarchical mean field model of interacting spins
DOI10.1016/J.SPA.2021.06.011zbMath1471.58037arXiv1910.13469OpenAlexW3177571867MaRDI QIDQ1979908
Marco Formentin, Guglielmo Pelino, Paolo Dai Pra
Publication date: 3 September 2021
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.13469
propagation of chaosCurie-Weiss modelhierarchical spin systemsmean field interacting particle systems
Continuous-time Markov processes on general state spaces (60J25) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)
Related Items (1)
Cites Work
- Unnamed Item
- The role of disorder in the dynamics of critical fluctuations of mean field models
- Survival of contact processes on the hierarchical group
- Critical phenomena and universal exponents in statistical physics. On Dyson's hierarchical model
- Asymptotic dynamics, non-critical and critical fluctuations for a geometric long-range interacting model
- On the long term behavior of some finite particle systems
- McKean-Vlasov Ito-Skorohod equations, and nonlinear diffusions with discrete jump sets
- Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation
- Multiple time scale analysis of interacting diffusions
- Triviality of hierarchical Ising model in four dimensions
- Synchronization of phase oscillators on the hierarchical lattice
- Oscillatory behavior in a model of non-Markovian mean field interacting spins
- Existence of a phase-transition in a one-dimensional Ising ferromagnet
- Dimension reduction for stochastic dynamical systems forced onto a manifold by large drift: a constructive approach with examples from theoretical biology
- Markov Chains
This page was built for publication: A hierarchical mean field model of interacting spins
