Path functionals over Wasserstein spaces
Brancolini A., Buttazzo G., Santambrogio F.
Research article (journal) | Peer reviewedAbstract
Given a metric space X we consider a general class of functionals which measure the cost of a path in X joining two given points X0 and x1, providing abstract existence results for optimal paths. The results are then applied to the case when X is a Wasserstein space of probabilities on a given set Ω and the cost of a path depends on the value of classical functionals over measures. Conditions for linking arbitrary extremal measures μ0 and μ1 by means of finite cost paths are given. © European Mathematical Society 2006.
Details about the publication
Journal: Journal of the European Mathematical Society (JEMS)
Volume: 8
Issue: 3
Page range: 415-434
Status: Published
Release year: 2006
Language in which the publication is written: English
Link to the full text: http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=33746530771
Keywords: Geodesies; Irrigation trees; Local functionals on measures; Wasserstein distances
Authors from the University of Münster
| Brancolini, Alessio | Professorship of Biomedical Computing/Modelling (Prof. Wirth) |