The geometry of Brownian surfaces
Probability
2016-08-16 v1
Abstract
Motivated by Segal's axiom of conformal field theory, we do a survey on geometrical random fields. We do a history of continuous random fields in order to arrive at a field theoretical analog of Klauder's quantization in Hamiltonian quantum mechanic by using infinite dimensional Airault-Malliavin Brownian motion.
Cite
@article{arxiv.math/0604446,
title = {The geometry of Brownian surfaces},
author = {Rémi Léandre},
journal= {arXiv preprint arXiv:math/0604446},
year = {2016}
}
Comments
Published at http://dx.doi.org/10.1214/154957806000000032 in the Probability Surveys (http://www.i-journals.org/ps/) by the Institute of Mathematical Statistics (http://www.imstat.org)