Authors
Citation
F. Chung et al., Combinatorics for the East model, ADV APPL MA, 27(1), 2001, pp. 192-206
Citations number
10
Categorie Soggetti
Mathematics
Journal title
ADVANCES IN APPLIED MATHEMATICS
ISSN journal
01968858
→ ACNP
Volume
27
Issue
1
Year of publication
2001
Pages
192 - 206
Database
ISI
SICI code
0196-8858(200107)27:1<192:CFTEM>2.0.ZU;2-N
Abstract
We study the number of configurations in the East model of statistical phys
ics. This may be pictured as sites in a line. The site at zero is always oc
cupied. The site at i > 0 can only be changed if site i - 1 is occupied. If
at most n occupied sites are permitted, we establish upper and lower bound
s of the form 2((n)(2))n! c(n) where c < 1 for the number of possible confi
gurations. (C) 2001 Academic Press.