Jagiellonian University Repository
On the causality and $K$-causality between measures
Communities & Collections
pcg.skipToMenu
Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
On the causality and $K$-causality between measures
Bibliographic description
| title: | On the causality and $K$-causality between measures |
| author: | Miller Tomasz 
|
| journal title: | Universe |
| volume: | 3 |
| issue: | 1 |
| date of publication : | 2017 |
| article ID: | 27 |
| eISSN: |
2218-1997 |
| DOI: | |
| 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 $K^{+}$ 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. |
| keywords in English: | causal relations, Lorentzian optimal transport theory, time functions |
| affiliation: | Pion Prorektora ds. współpracy międzynarodowej : Centrum Kopernika Badań Interdyscyplinarnych |
| type: | journal article |
| subtype: | academic paper |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
Projekt „Repozytorium otwartego dostępu do dorobku naukowego i dydaktycznego UJ” współfinansowany w ramach poddziałania 2.3.1 „Cyfrowe udostępnianie zasobów nauki” Programu Operacyjnego Polska Cyfrowa z Europejskiego Funduszu Rozwoju Regionalnego i budżetu państwa na podstawie umowy o dofinansowanie nr POPC.02.03.01-00-0030/17-00
