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

Collection 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

Organizer(s) Nicol, Matthew ; Pollicott, Mark ; Troubetzkoy, Serge ; Vaienti, Sandro

Date(s) 09/12/2019 - 13/12/2019

linked URL https://www.chairejeanmorlet.com/2109.html

00:00:00 / 00:00:00

4 5

Intermediate dimensions, capacities and projections

By Kenneth Falconer

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.

Information about the video

Date of recording 12/12/2019
Date of publication 23/01/2020
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19586703
Cite this video Falconer, Kenneth (12/12/2019). Intermediate dimensions, capacities and projections. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19586703
URL https://dx.doi.org/10.24350/CIRM.V.19586703

Domain(s)

Bibliography

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
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
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

MSC codes

Document(s)

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

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