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A perspective on the The Fibonacci trace map

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Authors : Damanik, David (Author of the conference)
CIRM (Publisher )

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Abstract : In this talk we explain how the Fibonacci trace map arises from the Fibonacci substitution and leads to a unified framework in which a variety of models can be studied. We discuss the associated foliations, hyperbolic sets, stable and unstable manifolds, and how the intersections of the stable manifolds with the model-dependent curve of initial conditions allow one to translate dynamical into spectral results.

MSC Codes :
37D20 - Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
37D50 - Hyperbolic systems with singularities (billiards, etc.)
81Q10 - Selfadjoint operator theory in quantum theory, including spectral analysis
81Q35 - Quantum mechanics on special spaces: manifolds, fractals, graphs, etc.

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 07/12/2017
    Conference Date : 06/12/2017
    Subseries : Research talks
    arXiv category : Dynamical Systems ; Spectral Theory ; Mathematical Physics
    Mathematical Area(s) : Analysis and its Applications ; Dynamical Systems & ODE ; Mathematical Physics
    Format : MP4 (.mp4) - HD
    Video Time : 01:00:43
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2017-12-06_Damanik.mp4

Information on the Event

Event Title : Jean-Morlet chair: Tiling and recurrence / Chaire Jean-Morlet : Pavages et récurrence
Event Organizers : Akiyama, Shigeki ; Arnoux, Pierre
Dates : 04/12/2017 - 08/12/2017
Event Year : 2017
Event URL : https://www.chairejeanmorlet.com/1721.html

Citation Data

DOI : 10.24350/CIRM.V.19250303
Cite this video as: Damanik, David (2017). A perspective on the The Fibonacci trace map. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19250303
URI : http://dx.doi.org/10.24350/CIRM.V.19250303

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