Affordable Access

Transport Problems and Disintegration Maps

Authors
  • Granieri, L.
  • Maddalena, F.
Type
Preprint
Publication Date
Jul 17, 2012
Submission Date
Jul 17, 2012
Identifiers
arXiv ID: 1207.4026
Source
arXiv
License
Yellow
External links

Abstract

By disintegration of transport plans it is introduced the notion of transport class. This allows to consider the Monge problem as a particular case of the Kantorovich transport problem, once a transport class is fixed. The transport problem constrained to a fixed transport class is equivalent to an abstract Monge problem over a Wasserstein space of probability measures. Concerning solvability of this kind of constrained problems, it turns out that in some sense the Monge problem corresponds to a lucky case.

Report this publication

Statistics

Seen <100 times