Yet another characterization of Birkhoff Billiards inside discs
Klaudiusz Czudek, Jacopo De Simoi, Andrew Gad, Marco Poon
TL;DR
This paper provides a new characterization of Birkhoff Billiards within discs, linking it to the expansion of the Lazutkin conjugacy at the boundary, enhancing understanding of billiard dynamics.
Contribution
It introduces a novel characterization of Birkhoff Billiards inside discs based on the Lazutkin conjugacy expansion, offering new insights into billiard dynamics.
Findings
Characterization of Birkhoff Billiards related to Lazutkin conjugacy expansion
Enhanced understanding of billiard dynamics inside discs
Theoretical connection between boundary behavior and billiard properties
Abstract
In this short paper, we show a characterization of Birkhoff Billiards inside discs which is related to the expansion of the formal Lazutkin conjugacy at the boundary.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Holomorphic and Operator Theory