Non-monotone convergence in the quadratic Wasserstein distance

Simple item page
dc.creatorSchachermayer, Walter
dc.creatorSchmock, Uwe
dc.creatorTeichmann, Josef
dc.date2007-04-06
dc.date.accessioned2026-07-07T07:55:34Z
dc.date.available2026-07-07T07:55:34Z
dc.descriptionWe give an easy counter-example to Problem 7.20 from C. Villani's book on mass transport: in general, the quadratic Wasserstein distance between $n$-fold normalized convolutions of two given measures fails to decrease monotonically.
dc.identifierhttps://arxiv.org/abs/0704.0876
dc.identifierhttp://arxiv.org/abs/0704.0876
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127013
dc.subjectProbability
dc.subject60B10
dc.titleNon-monotone convergence in the quadratic Wasserstein distance
dc.typetext

Files

Collections

arXiv