Revisiting log-periodic oscillations

DOI10.1016/j.physa.2024.129821MaRDI QIDQ6556389

J. M. Luck

Publication date: 17 June 2024

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

finite-size scalingfragmentation modelslog-periodic oscillationsoscillatory critical amplitudesdiscrete scale invariancenon-linear recursions

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Title not available (Why is that?)
• Mellin transforms associated with Julia sets and physical applications
• Periodic oscillations of coefficients of power series that satisfy functional equations
• Oscillatory critical amplitudes in hierarchical models and the Harris function of branching processes
• Lifshitz singularities in random harmonic chains: periodic amplitudes near the band edge and near special frequencies.
• Log-periodic critical amplitudes: a perturbative approach
• Heat kernels and zeta functions on fractals
• Singular behaviour of certain infinite products of random 2 × 2 matrices
• Log-periodic corrections to scaling: exact results for aperiodic Ising quantum chains
• Branching Processes

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