Simple view
Full metadata view
Authors
Statistics
On the causality and
Journal
Universe
Author
Miller Tomasz
Volume
3
Number
1
Article ID
27
eISSN
2218-1997
Keywords in English
causal relations
Lorentzian optimal transport theory
time functions
Language
English
Journal language
English
Abstract in English
Drawing from the optimal transport theory adapted to the Lorentzian setting, we propose and study the extension of the Sorkin–Woolgar causal relation
Affiliation
Pion Prorektora ds. współpracy międzynarodowej : Centrum Kopernika Badań Interdyscyplinarnych
Scopus© citations
4
dc.abstract.en | 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. | pl |
dc.affiliation | Pion Prorektora ds. współpracy międzynarodowej : Centrum Kopernika Badań Interdyscyplinarnych | pl |
dc.contributor.author | Miller, Tomasz - 410326 | pl |
dc.date.accessioned | 2021-06-08T07:19:07Z | |
dc.date.available | 2021-06-08T07:19:07Z | |
dc.date.issued | 2017 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 1 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 3 | pl |
dc.identifier.articleid | 27 | pl |
dc.identifier.doi | 10.3390/universe3010027 | pl |
dc.identifier.eissn | 2218-1997 | pl |
dc.identifier.project | ROD UJ / OP | pl |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/272202 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
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.en | causal relations | pl |
dc.subject.en | Lorentzian optimal transport theory | pl |
dc.subject.en | time functions | pl |
dc.subtype | Article | pl |
dc.title | On the causality and $K$-causality between measures | pl |
dc.title.journal | Universe | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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
Centrum Kopernika Badań Interdyscyplinarnych
Miller, Tomasz
* The migration of download and view statistics prior to the date of April 8, 2024 is in progress.
Views
20
Views per month
Views per city
Ashburn
4
Chandler
2
Dublin
2
Wroclaw
2
Lappeenranta
1
Downloads
miller_on_the_causality_2017.pdf
13
miller_on_the_causality_2017.odt
3