On the structure of the singularity manifolds of dispersing billiards

Pavel Batchourine

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On the structure of the singularity manifolds of dispersing billiards

Pavel Batchourine

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Abstract

In this paper we study the singularity manifolds of multidimensional strictly dispersing billiards and show that the proof of the Fundamental theorem for dispersing billiards remain valid for a dense set of finitely smooth scatterers.

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Pavel Batchourine. 2005-05-28. On the structure of the singularity manifolds of dispersing billiards. https://arxiv.org/abs/math/0505620

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