Order-invariant measures on fixed causal sets

Details Order-invariant measures on fixed causal sets Order-invariant measures on fixed causal sets

2009-01-02

arxiv.org/abs/0901.0242v2

Mathematics

Combinatorics

25 pages; to appear in Combinatorics, Probability and Computing

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Order-invariant measures on fixed causal sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Order-invariant measures on fixed causal sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Order-invariant measures on fixed causal sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-380908