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Springer Verlag, Journal of Statistical Physics, 1-2(154), p. 286-304

DOI: 10.1007/s10955-013-0774-0

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Log-periodic Critical Amplitudes: A Perturbative Approach

Journal article published in 2013 by B. Derida, Bernard Derrida, Giambattista Giacomin
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This paper is available in a repository.

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Abstract

Log-periodic amplitudes appear in the critical behavior of a large class of systems, in particular when a discrete scale invariance is present. Here we show how to compute these critical amplitudes perturbatively when they originate from a renormalization map which is close to a monomial. In this case, the log-periodic amplitudes of the subdominant corrections to the leading critical behavior can also be calculated. ; Comment: 17 pages, 2 figures