Numerical complex zeros of the random energy model

Cristian Moukarzel and Nestor Parga

Physica A: Statistical Mechanics and its Applications, 1991, vol. 177, issue 1, 24-30

Abstract: The distribution of zeros of the partition function of the random energy model (REM) is numerically estimated. In order to do this we devise a discrete version of the model (DREM) for which the partition function is a polynomial and whose roots can therefore be numerically obtained. A continuous limit transforms DREM into REM, so the zeros of the latter can be obtained from those of the former.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:177:y:1991:i:1:p:24-30

DOI: 10.1016/0378-4371(91)90129-Z

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