Non uniformly hyperbolic dynamical systems. Coupling and renewal theory / Systèmes dynamiques non uniformement et partiellement hyperboliques. Couplage, renouvellement

Collection Non uniformly hyperbolic dynamical systems. Coupling and renewal theory / Systèmes dynamiques non uniformement et partiellement hyperboliques. Couplage, renouvellement

Organizer(s) Troubetzkoy, Serge ; Vaienti, Sandro

Date(s) 20/02/2017 - 24/02/2017

linked URL http://conferences.cirm-math.fr/1714.html

00:00:00 / 00:00:00

3 6

Central limit theorems for circle packings

By Mark Pollicott

Also appears in collection : 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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