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Multi angle

H 1 Intermediate dimensions, capacities and projections

Auteurs : Falconer, Kenneth (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : The talk will review recent work on intermediate dimensions which interpolate between Hausdorff and box dimensions. We relate these dimensions to capacities which leading to ‘Marstrand-type’ theorems on the intermediate dimensions of projections of a set in $\mathbb{R}^{n}$ onto almost all m-dimensional subspaces. This is collaborative work with various combinations of Stuart Burrell, Jonathan Fraser, Tom Kempton and Pablo Shmerkin.

    Keywords : dimensions, fractals, projections

    Codes MSC :
    28A75 - Length, area, volume, other geometric measure theory
    28A78 - Hausdorff and packing measures
    28A80 - Fractals

    Ressources complémentaires :
    https://www.cirm-math.fr/RepOrga/2109/Slides/Falconer.pdf

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 23/01/2020
      Date de captation : 12/12/2019
      Collection : Research talks
      Format : MP4
      Durée : 00:39:05
      Domaine : Analysis and its Applications
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2019-12-12_Falconer.mp4

    Informations sur la rencontre

    Nom de la rencontre : Jean-Morlet Chair 2019 - Conference - Thermodynamic Formalism: Dynamical Systems, Statistical Properties and their Applications / Chaire Jean-Morlet 2019 - Conférence - Formalisme thermodynamique : systèmes dynamiques, propriétés statistiques et leurs applications
    Organisateurs de la rencontre : Nicol, Matthew ; Pollicott, Mark ; Troubetzkoy, Serge ; Vaienti, Sandro
    Dates : 09/12/2019 - 13/12/2019
    Année de la rencontre : 2019
    URL Congrès : https://www.chairejeanmorlet.com/2019-2-...

    Citation Data

    DOI : 10.24350/CIRM.V.19586703
    Cite this video as: Falconer, Kenneth (2019). Intermediate dimensions, capacities and projections. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19586703
    URI : http://dx.doi.org/10.24350/CIRM.V.19586703


    Voir aussi

    Bibliographie

    1. BURRELL, Stuart A., FALCONER, Kenneth J., et FRASER, Jonathan M. Projection theorems for intermediate dimensions. arXiv preprint arXiv:1907.07632, 2019. - https://arxiv.org/abs/1907.07632

    2. BURRELL, Stuart A., FALCONER, Kenneth J., et FRASER, Jonathan M. Projection theorems for intermediate dimensions. arXiv preprint arXiv:1907.07632, 2019. - https://arxiv.org/abs/1811.06493

    3. FALCONER, Kenneth J., FRASER, Jonathan M., et SHMERKIN, Pablo. Assouad dimension influences the box and packing dimensions of orthogonal projections. arXiv preprint arXiv:1911.04857, 2019. - https://arxiv.org/abs/1911.04857

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