On the causality and -causality between measures

2017
journal article
article
4
dc.abstract.enDrawing from the optimal transport theory adapted to the Lorentzian setting, we propose and study the extension of the Sorkin–Woolgar causal relation $K^{+}$ onto the space of Borel probability measures on a given spacetime. We show that it retains its fundamental properties of transitivity and closedness. Furthermore, we list and prove several characterizations of this relation, including the “measure-theoretic” analogue of the characterization of $K^{+}$ in terms of time functions.pl
dc.affiliationPion Prorektora ds. współpracy międzynarodowej : Centrum Kopernika Badań Interdyscyplinarnychpl
dc.contributor.authorMiller, Tomasz - 410326 pl
dc.date.accessioned2021-06-08T07:19:07Z
dc.date.available2021-06-08T07:19:07Z
dc.date.issued2017pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number1pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume3pl
dc.identifier.articleid27pl
dc.identifier.doi10.3390/universe3010027pl
dc.identifier.eissn2218-1997pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/272202
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subject.encausal relationspl
dc.subject.enLorentzian optimal transport theorypl
dc.subject.entime functionspl
dc.subtypeArticlepl
dc.titleOn the causality and $K$-causality between measurespl
dc.title.journalUniversepl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
Drawing from the optimal transport theory adapted to the Lorentzian setting, we propose and study the extension of the Sorkin–Woolgar causal relation $K^{+}$ onto the space of Borel probability measures on a given spacetime. We show that it retains its fundamental properties of transitivity and closedness. Furthermore, we list and prove several characterizations of this relation, including the “measure-theoretic” analogue of the characterization of $K^{+}$ in terms of time functions.
dc.affiliationpl
Pion Prorektora ds. współpracy międzynarodowej : Centrum Kopernika Badań Interdyscyplinarnych
dc.contributor.authorpl
Miller, Tomasz - 410326
dc.date.accessioned
2021-06-08T07:19:07Z
dc.date.available
2021-06-08T07:19:07Z
dc.date.issuedpl
2017
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
1
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
3
dc.identifier.articleidpl
27
dc.identifier.doipl
10.3390/universe3010027
dc.identifier.eissnpl
2218-1997
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/272202
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subject.enpl
causal relations
dc.subject.enpl
Lorentzian optimal transport theory
dc.subject.enpl
time functions
dc.subtypepl
Article
dc.titlepl
On the causality and $K$-causality between measures
dc.title.journalpl
Universe
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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