Ergodicity for the stochastic quantization problems on the 2D-torus
Probability
2017-04-26 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
In this paper we study the stochastic quantization problem on the two dimensional torus and establish ergodicity for the solutions. Furthermore, we prove a characterization of the quantum field on the torus in terms of its density under translation. We also deduce that the quantum field on the torus is an extreme point in the set of all -symmetrizing measures, where is the corresponding generator.
Keywords
Cite
@article{arxiv.1606.02102,
title = {Ergodicity for the stochastic quantization problems on the 2D-torus},
author = {Michael Rockner and Rongchan Zhu and Xiangchan Zhu},
journal= {arXiv preprint arXiv:1606.02102},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1511.08030