1303.5971 (Bernard Derrida et al.)

Log-periodic critical amplitudes: a perturbative approach    [PDF]

Bernard Derrida, Giambattista Giacomin

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.

View original: http://arxiv.org/abs/1303.5971