Brightwell, Graham and Luczak, Malwina (2009) Order-invariant measures on fixed causal sets. . arXiv.
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 {\em natural extension}. We study probability measures on the set of natural extensions of a causal set, especially those measures having the property of {\em order-invariance}: if we condition on the set of the bottom k elements of the natural extension, each possible 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: | Monograph (Report) |
|---|---|
| Official URL: | http://arxiv.org/ |
| Additional Information: | © 2009 The authors |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics H Social Sciences > HA Statistics |
| Date Deposited: | 09 Apr 2010 13:59 |
| Last Modified: | 11 Sep 2025 02:56 |
| URI: | http://eprints.lse.ac.uk/id/eprint/27677 |
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