Upper and lower bounds for the partition function of lattice models

Michael Heise

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 2, 983-999

Abstract: By use of general properties of real symmetric transfer matrices upper and lower bounds for the partition function of lattice models are derived. A scheme is presented for reducing transfer matrices to sparse matrices. The accuracy of the bounds is illustrated by numerical results for the monomer-dimer problem.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:2:p:983-999

DOI: 10.1016/0378-4371(89)90076-9

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