Generic properties of open billiards
نویسندگان
چکیده
The purpose of this paper is to show that for a dense G set of three smooth convex bodies with nowhere vanishing curvature in the C topology k the open billiard obtained from these convex bod ies determines a potential the one that de nes the natural escape measure of this billiard which is non lattice This result generalizes one of the results obtained in a previous work of A Lopes and R Markarian Research supported by NSF Grant DMS and TARP Grant Running title open billiards Send proofs to R Daniel Mauldin Mathematics Department Box University of North Texas Denton Texas
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