Brightwell, Graham 
ORCID: 0000-0001-5955-3628 and Luczak, Malwina J.
(2012)
Order-invariant measures on fixed causal sets.
Combinatorics, Probability and Computing, 21 (03).
pp. 330-357.
ISSN 0963-5483
Abstract
A causal set is a countably infinite poset in which every element is above finitely many others; causal sets are exactly the posets that have a linear extension with the order-type of the natural numbers; we call such a linear extension a natural extension. We study probability measures on the set of natural extensions of a causal set, especially those measures having the property of order-invariance: if we condition on the set of the bottom k elements of the natural extension, each feasible ordering among these k elements is equally likely. We give sufficient conditions for the existence and uniqueness of an order-invariant measure on the set of natural extensions of a causal set.
| Item Type: | Article |
|---|---|
| Official URL: | http://journals.cambridge.org/action/displayJourna... |
| Additional Information: | © 2012 Cambridge University Press. |
| Divisions: | Mathematics |
| Subjects: | H Social Sciences > HA Statistics Q Science > QA Mathematics |
| Date Deposited: | 04 May 2012 08:51 |
| Last Modified: | 10 Dec 2025 15:12 |
| URI: | http://eprints.lse.ac.uk/id/eprint/43397 |
Actions (login required)
 |
View Item |
