Quasipotentials with more than two variables: new evaluation at equilibrium points of the drift
Probability
2021-09-29 v2
Abstract
The relevant quasipotential near an equilibrium point is determined by a new linear matrix equation, with less unknowns than an existing (possibly nonlinear) one. This also assures the asymptotic fulfillment of the Fokker-Planck equation, even globally due to the second term in the noise strength. An auxiliary result for the exit problem is derived as well.
Keywords
Cite
@article{arxiv.1206.4497,
title = {Quasipotentials with more than two variables: new evaluation at equilibrium points of the drift},
author = {Dietrich Ryter},
journal= {arXiv preprint arXiv:1206.4497},
year = {2021}
}
Comments
Some results of arXiv.org/abs/1204.4681 are extended to more than 2 variables. Former title: "Nonminimum quasipotentials for the actual weak noise solution of Fokker-Planck equations"