Dyson diffusion on a curved contour
Mathematical Physics
2022-11-07 v1 math.MP
Abstract
We define the Dyson diffusion process on a curved smooth closed contour in the plane and derive the Fokker-Planck equation for probability density. Its stationary solution is shown to be the Boltzmann weight for the logarithmic gas confined on the contour.
Cite
@article{arxiv.2211.02339,
title = {Dyson diffusion on a curved contour},
author = {A. Zabrodin},
journal= {arXiv preprint arXiv:2211.02339},
year = {2022}
}
Comments
8 pages, no figures