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One-sided multifractal analysis of Gibbs measures on the line

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Authors : Feng, De-Jun (Author of the conference)
CIRM (Publisher )

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Abstract : Let $\mu$ be a self-similar measure on the line satisfying the strong separation condition, or more generally, a Gibbs measure supported on a nonlinear Cantor set on the line. We conduct the one-sided multifractal analysis of $\mu$. This is based on joint work with Cai-Yun Ma.

Keywords : multifractal analysis; Hausdorff dimension; Gibbs measures

MSC Codes :
28A78 - Hausdorff and packing measures
 28A80 - Fractals
 37C45 - Dimension theory of dynamical systems
    Information on the Video

    Film maker : Petit, Jean
    Language : English
    Available date : 12/07/2023
    Conference Date : 27/06/2023
    Subseries : Research talks
    arXiv category : Commutative Algebra ; Dynamical Systems
    Mathematical Area(s) : Analysis and its Applications ; Dynamical Systems & ODE
    Format : MP4 (.mp4) - HD
    Video Time : 01:03:15
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2023-06-27_De-Jun_Feng_1.mp4
Information on the Event

Event Title : Multifractal analysis and self-similarity / Analyse multifractale et auto-similarité
Event Organizers : Barral, Julien ; Batakis, Athanasios ; Berthé, Valérie ; Seuret, Stéphane ; Thuswaldner, Jörg
Dates : 26/06/2023 - 30/06/2023
Event Year : 2023
Event URL : https://conferences.cirm-math.fr/2751.html

Citation Data

DOI : 10.24350/CIRM.V.20063403
Cite this video as: Feng, De-Jun (2023). One-sided multifractal analysis of Gibbs measures on the line. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20063403
URI : http://dx.doi.org/10.24350/CIRM.V.20063403

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