Discrete scale invariance, and its logarithmic extension

Abstract

It is known that discrete scale invariance leads to log-periodic corrections to scaling. We investigate the correlations of a system with discrete scale symmetry, discuss in detail possible extension of this symmetry such as translation and inversion, and find general forms for correlation functions.

12 pages, LaTeX

References in corpus (3)

• Significance of log-periodic precursors to financial crashes
• Oscillatory Finite-Time Singularities in Finance, Population and Rupture
• Operator Product Expansion in Logarithmic Conformal Field Theory

Cited by in corpus (1)

• Height Fluctuations and Intermittency of $V_2{O}_5$ Films by Atomic Force Microscopy