Stochastic Quantization for the fractional Edwards Measure
Mathematical Physics
2019-07-09 v1 Functional Analysis
math.MP
Probability
Abstract
We prove the existence of a diffusion process whose invariant measure is the fractional polymer or Edwards measure for fractional Brownian motion in dimension with Hurst parameter fulfilling . The diffusion is constructed via Dirichlet form techniques in infinite dimensional (Gaussian) analysis. Moreover, we show that the process is invariant under time translations.
Keywords
Cite
@article{arxiv.1601.06406,
title = {Stochastic Quantization for the fractional Edwards Measure},
author = {Wolfgang Bock and Torben Fattler and Ludwig Streit},
journal= {arXiv preprint arXiv:1601.06406},
year = {2019}
}