The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group
抄録
<p>In this paper we study the relationship between three numerical invariants associated to a Kleinian group, namely the critical exponent, the Hausdorff dimension of the limit set and the convex core entropy, which coincides with the upper box-counting dimension of the limit set. The Hausdorff dimension of the limit set is naturally bounded below by the critical exponent and above by the convex core entropy. We investigate when these inequalities become strict and when they are equalities.</p>
収録刊行物
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- Conformal Geometry and Dynamics of the American Mathematical Society
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Conformal Geometry and Dynamics of the American Mathematical Society 19 (8), 159-196, 2015-06-01
American Mathematical Society (AMS)
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詳細情報 詳細情報について
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- CRID
- 1360004234487399040
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- DOI
- 10.1090/ecgd/279
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- ISSN
- 10884173
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- データソース種別
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- Crossref
- KAKEN