On Representations of Integers in Thin Subgroups of $${{\rm SL}_2({\mathbb {Z}})}$$-Reference-Cited by-同舟云学术

On Representations of Integers in Thin Subgroups of $${{\rm SL}_2({\mathbb {Z}})}$$

Published:2010-09-30 Issue:5 Volume:20 Page:1144-1174
ISSN:1016-443X
Container-title:Geometric and Functional Analysis
language:en
Short-container-title:Geom. Funct. Anal.

Author:

Bourgain Jean,Kontorovich Alex

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00039-010-0093-4.pdf

Reference16 articles.

1. J. Bourgain and E. Fuchs, A proof of the positive density conjecture for integer Apollonian circle packings, preprint (2010); http://arxiv.org/abs/1001.3894

2. Bourgain J., Gamburd A., Sarnak P.: Sieving and expanders. C. R. Math. Acad. Sci. Paris 343(3), 155–159 (2006)

3. J. Bourgain, A. Gamburd, P. Sarnak. Affine linear sieve, expanders, and sum-product, preprint (2008).

4. J. Bourgain, A. Kontorovich, P. Sarnak, Sector estimates for hyperbolic isometries, to appear in the same issue as the paper giving this reference; http://arxiv.org/abs/1001.4541 .

5. Epstein C.L.: Asymptotics for closed geodesics in a homology class, the finite volume case. Duke Math. J. 55(4), 717–757 (1987)

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