Real diffusion with complex spectral gap
Analysis of PDEs
2023-10-09 v1 Mathematical Physics
math.MP
Probability
Spectral Theory
Abstract
The low-lying eigenvalues of the generator of a Langevin process are known to satisfy the Eyring-Kramers law in the low temperature regime under suitable assumptions. These eigenvalues are generically real. We construct generators whose spectral gap is given by non-real eigenvalues or by a real eigenvalue having a Jordan block.
Cite
@article{arxiv.2310.04203,
title = {Real diffusion with complex spectral gap},
author = {Jean-Francois Bony and Laurent Michel},
journal= {arXiv preprint arXiv:2310.04203},
year = {2023}
}
Comments
20 pages, 2 figures