Some special limits of Schottky groups
نویسندگان
چکیده
منابع مشابه
The Limit Sets of Some Infinitely Generated Schottky Groups
Let P be a packing of balls in Euclidean space E" having the property that the radius of every ball of P lies in the interval [l//c, k]. If G is a Schottky group associated to P , then the Hausdorff dimension of the topological limit set of G is less than a uniform constant C(k, n) < n. In particular, this limit set has zero volume.
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We prove the existence and some properties of the limiting gap distribution for the directions of some Schottky group orbits in the Poincaré disk. A key feature is that the fundamental domains for these groups have infinite area.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1993
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1993-1148024-x