You can hear the shape of a billiard table: Symbolic dynamics and rigidity for flat surfaces
نویسندگان
چکیده
We give a complete characterization of the relationship between shape Euclidean polygon and symbolic dynamics its billiard flow. prove that only pairs tables can have same bounce spectrum are right-angled differ by an affine map. The main tool is new theorem establishes flat cone metric completely determined support Liouville current.
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2021
ISSN: ['0010-2571', '1420-8946']
DOI: https://doi.org/10.4171/cmh/516