Combinatorics for the East Model

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Combinatorics for the East Model

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 2( n 2) n! c where c < 1 for the number of possible configurations.

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ژورنال

عنوان ژورنال: Advances in Applied Mathematics

سال: 2001

ISSN: 0196-8858

DOI: 10.1006/aama.2001.0728