The Limit Sets of Some Infinitely Generated Schottky Groups

نویسنده

  • RICHARD SCHWARTZ
چکیده

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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تاریخ انتشار 2010