Optimal transport for multifractal random measures. Applications
Probability
2010-09-02 v1 Classical Analysis and ODEs
Abstract
In this paper, we study optimal transportation problems for multifractal random measures. Since these measures are much less regular than optimal transportation theory requires, we introduce a new notion of transportation which is intuitively some kind of multistep transportation. Applications are given for construction of multifractal random changes of times and to the existence of random metrics, the volume forms of which coincide with the multifractal random measures. This study is motivated by recent problems in the KPZ context.
Cite
@article{arxiv.1009.0133,
title = {Optimal transport for multifractal random measures. Applications},
author = {Rémi Rhodes and Vincent Vargas},
journal= {arXiv preprint arXiv:1009.0133},
year = {2010}
}
Comments
21 pages