Central limit theorems for circle packings | Vidéo | Carmin.tv

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Central limit theorems for circle packings

By Mark Pollicott

Appears in collections : Non uniformly hyperbolic dynamical systems. Coupling and renewal theory / Systèmes dynamiques non uniformement et partiellement hyperboliques. Couplage, renouvellement, Exposés de recherche

Given the Apollonian Circle packing, or something similar, one can consider the distribution of the logarithms of the radii. These can be shown to satisfy a Central Limit Theorem. The method of proof uses iterated function schemes and transfer operators and has applications to other conformal dynamical systems.

Information about the video

Date of recording 21/02/2017
Date of publication 03/03/2017
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19128903
Cite this video Pollicott, Mark (21/02/2017). Central limit theorems for circle packings. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19128903
URL https://dx.doi.org/10.24350/CIRM.V.19128903

Domain(s)

Bibliography

Pollicott, M. (2015). Apollonian circle packings. In C. Bandt, K. Falconer, & M. Zähle (Eds.), Fractal geometry and stochastics V (pp. 121-142). Cham: Birkhäuser - http://dx.doi.org/10.1007/978-3-319-18660-3_8

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