Onset of the Asymptotic Regime for (Uniformly Random) Finite Orders

DOI10.1080/10586458.2016.1158134zbMath1367.05011arXiv1504.05902OpenAlexW2507292754MaRDI QIDQ4976179

David Rideout, Rafael D. Sorkin, Sumati Surya, Joe Henson

Publication date: 27 July 2017

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05902

zbMATH Keywords

Monte CarloMarkov chainorderasymptotic enumerationpartially ordered setscausal sets

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Quantization of the gravitational field (83C45) Asymptotic enumeration (05A16) Software, source code, etc. for problems pertaining to ordered structures (06-04)

Related Items (8)

Path integral suppression of badly behaved causal sets ⋮ A new approach for embedding causal sets into Minkowski space ⋮ Causal set generator and action computer ⋮ Echoes of asymptotic silence in causal set quantum gravity ⋮ Finite size scaling in 2d causal set quantum gravity ⋮ A criterion for covariance in complex sequential growth models ⋮ The causal set approach to quantum gravity ⋮ The Ising model coupled to 2d orders

Uses Software

• GSL

Cites Work

• Unnamed Item
• Posets on up to 16 points
• Asymptotic enumeration of two-dimensional posets
• Random orders of dimension 2
• The average number of linear extensions of a partial order
• Evidence for the continuum in 2D causal set quantum gravity
• Entropy and phase transitions in partially ordered sets
• Tables of maximally equidistributed combined LFSR generators

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