Exposés de recherche

Collection Exposés de recherche

00:00:00 / 00:00:00
249 380

Central limit theorems for circle packings

By Mark Pollicott

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

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

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

Bibliography

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback