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arXiv · 1303.5971

Log-periodic critical amplitudes: a perturbative approach

Bernard Derrida·Giambattista Giacomin
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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.

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Bernard Derrida, Giambattista Giacomin. 2013-03-24. Log-periodic critical amplitudes: a perturbative approach. https://doi.org/10.1007/s10955-013-0774-0

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