PAPER #29 Published: 2025-09-07 • Open Access Preprint

A new field: Stochastic–Dynamical Interactions: A Hairer–Mirzakhani Framework for Photon Dynamics

Peter De Ceuster
SIG Labs
Abstract
This paper proposes a new field of study that unites stochastic partial differential equations (SPDEs) with hyperbolic flows on moduli spaces of Riemann surfaces, building on the works of Hairer and Mirzakhani. It introduces stochastic Teichmüller flows to model photon dynamics.
Keywords & Fields
physicsmathematicsdynamics
Cite this work (BibTeX)
@article{deceuster2025_29-a-new-field-stoch,
  title = {A new field: Stochastic–Dynamical Interactions: A Hairer–Mirzakhani Framework for Photon Dynamics},
  author = {De Ceuster, Peter},
  year = {2025},
  month = {09},
  institution = {SIG Labs},
  doi = {10.5281/zenodo.17070567},
  url = {https://peterdeceuster.uk/papers/29-a-new-field-stochasticdynamical-interactions-a-hairermirzakhani-framework},
  note = {Full text available at https://peterdeceuster.uk/articenter/work/hairerphoton (1).pdf}
}