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Log-periodic critical amplitudes: a perturbative approach

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.

preprint2013arXivOpen access
Bernard DerridaGiambattista Giacomin
cond-mat.stat-mech
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Bernard DerridaGiambattista Giacomin

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