---
res:
bibo_abstract:
- "Borel probability measures living on metric spaces are fundamental\r\nmathematical
objects. There are several meaningful distance functions that make the collection
of the probability measures living on a certain space a metric space. We are interested
in the description of the structure of the isometries of such metric spaces. We
overview some of the recent results of the topic and we also provide some new
ones concerning the Wasserstein distance. More specifically, we consider the space
of all Borel probability measures on the unit sphere of a Euclidean space endowed
with the Wasserstein metric W_p for arbitrary p >= 1, and we show that the
action of a Wasserstein isometry on the set of Dirac measures is induced by an
isometry of the underlying unit sphere.@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Daniel
foaf_name: Virosztek, Daniel
foaf_surname: Virosztek
foaf_workInfoHomepage: http://www.librecat.org/personId=48DB45DA-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0003-1109-5511
bibo_doi: 10.14232/actasm-018-753-y
bibo_issue: 1-2
bibo_volume: 84
dct_date: 2018^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/0001-6969
- http://id.crossref.org/issn/2064-8316
dct_language: eng
dct_publisher: Springer Nature@
dct_title: Maps on probability measures preserving certain distances - a survey
and some new results@
...