Brightwell, Graham and Luczak, Malwina J. (2012) Order-invariant measures on fixed causal sets. Combinatorics, Probability and Computing, 21 (03). pp. 330-357. ISSN 0963-5483
Full text not available from this repository.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: | 06 Jan 2024 02:24 |
| URI: | http://eprints.lse.ac.uk/id/eprint/43397 |
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