Order-invariant measures on causal sets

DOI10.1214/10-AAP736zbMath1274.60026arXiv0901.0240MaRDI QIDQ640064

Graham R. Brightwell, Malwina J. Luczak

Publication date: 12 October 2011

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0240

zbMATH Keywords

invariant measuresinfinite posetscausal setsrandom linear extensions

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Combinatorial probability (60C05) Limit theorems in probability theory (60F99)

Related Items (5)

Order-Invariant Measures on Fixed Causal Sets ⋮ A manifestly covariant framework for causal set dynamics ⋮ The causal set approach to quantum gravity ⋮ Record‐dependent measures on the symmetric groups ⋮ If time had no beginning: growth dynamics for past-infinite causal sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random graph orders
• A conditional 0-1 law for the symmetric \(\sigma\)-field
• Linear extensions of infinite posets
• Two combinatorial applications of the Aleksandrov-Fenchel inequalities
• Gibbs measures and phase transitions
• Linear extensions of a random partial order
• Semiorders and the 1/3-2/3 conjecture
• Balancing pairs and the cross product conjecture
• A correlational inequality for linear extensions of a poset
• Order-Invariant Measures on Fixed Causal Sets
• Continuum limits for classical sequential growth models
• Symmetric Measures on Cartesian Products
• Observables in extended percolation models of causal set cosmology
• Integral Representations of Invariant Measures
• Building uniformly random subtrees
• Statistical Mechanics of Disordered Systems
• The random binary growth model

This page was built for publication: Order-invariant measures on causal sets