Abstract
We give a renormalization analysis of the self-similarity of autocorrelation functions in symmetric barrier billiards for golden mean trajectories. For the special case of a half-barrier we present a rigorous calculation of the asymptotic height of the main peaks in the autocorrelation function. Fundamental to this work is a detailed analysis of a functional recurrence equation which has previously been used in the analysis of fluctuations in the Harper equation and of correlations in strange non-chaotic attractors and in quantum two-level systems.
Original language | English |
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Pages (from-to) | 71-91 |
Number of pages | 21 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 180 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - Jun 2003 |