Oscillatory critical amplitudes in hierarchical models

• DOI: 10.1007/bf01212352
• Publication Date: 2005-02-25T08:47:31Z
• Authors: B. Derrida; C. Itzykson; J. M. Luck
• Keywords: Chiral Potts curve; Lattice (music)

We study the oscillatory critical amplitudes of theq-states Potts model on a diamond hierarchical lattice. We consider an example of the generic case (finite critical index), as well as the degenerate case (essential singularity). In both cases, we compare the magnitude of the oscillations with geometrical characteristics of the Julia set of zeroes of the partition function.