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 * Fast approximation of top Lyapunov exponent (Pollicott via periodic orbits and determinant formula)  * Fast approximation of top Lyapunov exponent (Pollicott paper [[https://link.springer.com/article/10.1007/s00222-010-0246-y|Maximal Lyapunov exponents for random matrix products]] via periodic orbits and determinant formula)

Sage Days 112 Online, February-March 2021

Sage is an open source software for mathematics. This is the webpage for the Sage workshop for ANR CODYS. The aim is to:

  • introduce Sage to people in the ANR
  • implement Loick Lhote's code to compute spectrum of transfer operators on continued fraction algorithms.
  • help people to implement their own projects

The workshop will take place on two Thusrday mornings to be determined replacing the weekly sage seminar thursdaysbdx.

Please fill up the poll.

Schedule

TBD

Projects

The following projects have been discussed during the last ANR meeting in December.

  • Implement computation of spectra for transfer operators associated to :
    1. Gauss map
    2. Jacobi-Perron
    3. Ostrowski
    4. Triangle map
    5. ...
  • Check Alkauskas theorem.
  • Fast approximation of top Lyapunov exponent (Pollicott paper Maximal Lyapunov exponents for random matrix products via periodic orbits and determinant formula)

    • See whether it can be extended to simplicial systems... several problems
      • use canonical measure instead of Bernoulli measure
      • non-negative matrices instead of positive
  • Proven enclosure using ball arithmetic and remainder estimates

Organizer

Participants

Support

This workshop is supported by ANR CODYS.

Other events to (maybe) avoid

Février

Mars

days112 (last edited 2021-03-23 09:09:41 by Fougeroc)