Self-similar correlations in a barrier billiard

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. Fun...

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Bibliographic Details
Main Authors: J.R. Chapman, Andrew H. Osbaldestin
Format: Default Preprint
Published: 2002
Subjects:
Other mathematical sciences not elsewhere classified
barrier billiards
renormalization
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/465
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