Pathways Workshop: Kinetic Theory & Stochastic Partial Differential Equations: KPZ equation, Dyson Brownian motion and optimal transport
Presenter
August 21, 2025
Keywords:
- singular SPDEs
- regularity structures
- paracontrolled calculus
- KPZ equation
- space-time white noise
- stochastic quantization
- Multiscale analysis
- Intermittency
- SPDEs from fluid dynamics
- Boltzmann equation
- Vlasov-Poisson system
- Vlasov-Maxwell system
- Fokker-Planck equation
- BBGKY hierarchy
MSC:
- 60H15 - Stochastic partial differential equations (aspects of stochastic analysis) [See also 35R60]
- 82C40 - Kinetic theory of gases in time-dependent statistical mechanics
Abstract
We introduce new perspectives connecting the KPZ equation, Dyson Brownian motion, and optimal transport, along with new results derived from these viewpoints.