Combinatorics for the East Model

Authors: Chung F.¹; Diaconis P.²; Graham R.³

Source: Advances in Applied Mathematics, Volume 27, Number 1, July 2001 , pp. 192-206(15)

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Abstract:

We study the number of configurations in the East model of statistical physics. This may be pictured as sites in a line. The site at zero is always occupied. 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 bounds of the form 2n2n! cⁿ where c < 1 for the number of possible configurations. Copyright 2001 Academic Press.

Language: English

Document Type: Research article

Affiliations: 1: Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, Department 0112, La Jolla, California, 92093-0112 2: Department of Mathematics, Stanford University, Stanford, California, 94305 3: Department of Computer Science and Engineering, University of California, San Diego, 9500 Gilman Drive, Department 0112, La Jolla, California, 92093-0112

Publication date: 2001-07-01