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Discrete scale invariance, and its logarithmic extension

N. Abed-Pour, A. Aghamohammadi, M. Khorrami, M. Reza Rahimi Tabar

cond-matarXiv:cond-mat/0208544

Abstract

It is known that discrete scale invariance leads to log-periodic corrections to scaling. We investigate the correlations of a system with discrete scale symmetry, discuss in detail possible extension of this symmetry such as translation and inversion, and find general forms for correlation functions.

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