Exposés de recherche

Collection Exposés de recherche

00:00:00 / 00:00:00
141 380

Logarithmico-exponential series and fractal analysis

By Jean-Philippe Rolin

Also appears in collection : Ordered algebraic structures and related topics / Structures algébriques ordonnées et leurs interactions

We will describe a new approach to the study of discrete dynamical systems on the real line, which consists in considering their orbits as "fractal objetcs". In particular, the formal classification of analytic systems can be reproven with this method. We will also explain the main lines of a program devoted to the study of some non analytic systems. These are generated by maps which admit a specific type of transseries (Dulac’s transseries) as asymptotic expansions.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.18863803
  • Cite this video Rolin, Jean-Philippe (15/10/2015). Logarithmico-exponential series and fractal analysis. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18863803
  • URL https://dx.doi.org/10.24350/CIRM.V.18863803

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