A new look at Apollonian circle packings

2017 ◽  
Vol 10 (2) ◽  
pp. 345-360
Author(s):  
Isabel Corona ◽  
Carolynn Johnson ◽  
Lon Mitchell ◽  
Dylan O’Connell
Keyword(s):  
Circle Packings ◽  
Apollonian Circle Packings ◽  
New Look

scholarly journals Integral Apollonian circle packings and prime curvatures

2012 ◽  
Vol 118 (1) ◽  
pp. 221-249 ◽  
Author(s):  
J. Bourgain
Keyword(s):  
Circle Packings ◽  
Apollonian Circle Packings

scholarly journals Apollonian circle packings: Number theory II. Spherical and hyperbolic packings

2007 ◽  
Vol 14 (3) ◽  
pp. 437-469 ◽  
Author(s):  
Nicholas Eriksson ◽  
Jeffrey C. Lagarias
Keyword(s):  
Number Theory ◽  
Circle Packings ◽  
Apollonian Circle Packings

scholarly journals On integral Apollonian circle packings

2006 ◽  
Vol 119 (2) ◽  
pp. 171-193 ◽  
Author(s):  
S. Northshield
Keyword(s):  
Circle Packings ◽  
Apollonian Circle Packings

scholarly journals The Erdős-Kac theorem for curvatures in integral apollonian circle packings

2011 ◽  
Vol 89 (103) ◽  
pp. 11-17
Author(s):  
Goran Djankovic
Keyword(s):  
Type Result ◽  
Circle Packings ◽  
Apollonian Circle Packings

The Erd?s-Kac type result for curvatures of circles in integral Apollonian packings is proved.

scholarly journals Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions

2005 ◽  
Vol 35 (1) ◽  
pp. 37-72 ◽  
Author(s):  
Ronald L. Graham ◽  
Jeffrey C. Lagarias ◽  
Colin L. Mallows ◽  
Allan R. Wilks ◽  
Catherine H. Yan
Keyword(s):  
Group Theory ◽  
Higher Dimensions ◽  
Circle Packings ◽  
Apollonian Circle Packings

Apollonian Circle Packings

2015 ◽  
pp. 121-142
Author(s):  
Mark Pollicott
Keyword(s):  
Circle Packings ◽  
Apollonian Circle Packings

scholarly journals Apollonian circle packings and closed horospheres on hyperbolic $3$-manifolds

2011 ◽  
Vol 24 (3) ◽  
pp. 603-603 ◽  
Author(s):  
Alex Kontorovich ◽  
Hee Oh
Keyword(s):  
Circle Packings ◽  
Apollonian Circle Packings

scholarly journals Apollonian Circle Packings: Geometry and Group Theory II. Super-Apollonian Group and Integral Packings

2005 ◽  
Vol 35 (1) ◽  
pp. 1-36 ◽  
Author(s):  
Ronald L. Graham ◽  
Jeffrey C. Lagarias ◽  
Colin L. Mallows ◽  
Allan R. Wilks ◽  
Catherine H. Yan
Keyword(s):  
Group Theory ◽  
Circle Packings ◽  
Apollonian Circle Packings

scholarly journals Corrigendum to “Apollonian Circle Packings and Prime Curvatures”

2013 ◽  
Vol 120 (1) ◽  
pp. 393-393
Author(s):  
J. Bourgain
Keyword(s):  
Circle Packings ◽  
Apollonian Circle Packings

scholarly journals Apollonian circle packings: dynamics and number theory

2014 ◽  
Vol 9 (1) ◽  
pp. 69-97 ◽  
Author(s):  
Hee Oh
Keyword(s):  
Number Theory ◽  
Circle Packings ◽  
Apollonian Circle Packings
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