PAPER #06 Published: 2025-10-14 • Open Access Preprint

Geometric Averaging and Deterministic Limits for Stochastically Renormalized Field Equations

Peter De Ceuster
SIG Labs
Abstract
We present a general averaging theorem showing that a family of stochastically renormalized field equations converges to a deterministic effective PDE obtained by geometric averaging under scale-separation and ergodicity hypotheses.
Keywords & Fields
physicsmathematics
Cite this work (BibTeX)
@article{deceuster2025_06-geometric-averagi,
  title = {Geometric Averaging and Deterministic Limits for Stochastically Renormalized Field Equations},
  author = {De Ceuster, Peter},
  year = {2025},
  month = {10},
  institution = {SIG Labs},
  doi = {10.5281/zenodo.17352822},
  url = {https://peterdeceuster.uk/papers/06-geometric-averaging-and-deterministic-limits-for-stochastically-renormalized},
  note = {Full text available at https://peterdeceuster.uk/articenter/work/7 (1).pdf}
}