Apollonian circle packings: dynamics and number theory

Author:

Oh Hee

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference59 articles.

1. Babillot M.: On the mixing property for hyperbolic systems. Israel J. Math. 129, 61–76 (2002)

2. J. Bourgain, Integral Apollonian circle packings and prime curvatures, preprint, arXiv:1105.5127 .

3. J. Bourgain, Some Diophantine applications of the theory of group expansion, In: Thin Groups and Superstrong Approximation, (eds. E. Breulliard and H. Oh), Math. Sci. Res. Inst. Publ., 61, Cambridge Univ. Press, Cambridge, to appear (2014).

4. Bourgain J., Fuchs E.: A proof of the positive density conjecture for integer Apollonian packings. J. Amer. Math. Soc. 24, 945–967 (2011)

5. Bourgain J., Gamburd A., Sarnak P.: Affine linear sieve, expanders, and sum-product. Invent. Math. 179, 559–644 (2010)

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