Recent Trends in Stochastic Partial Differential Equations: Synchronization in Stochastic Systems: Models and Applications
Presenter
November 17, 2025
Keywords:
- stochastic partial differential equations
- regularity structures
- paracontrolled calculus
- nonlinear dispersive equations
- Gibbs measures
- homogenization
- stochastic fluid dynamics
- quantum field theory
MSC:
- 60H15 - Stochastic partial differential equations (aspects of stochastic analysis)
Abstract
Synchronization phenomena describe the long-time behavior of systems composed of interacting particles or agents that eventually reach a common state. In this talk, we will present several stochastic models and investigate their synchronization properties under both additive and multiplicative noise. We will also explore an application to networked systems, modeled by stochastic reaction-diffusion equations on a graph.