Dynamique au-delà de l'hyperbolicité uniforme / Dynamics Beyond Uniform Hyperbolicity

Collection Dynamique au-delà de l'hyperbolicité uniforme / Dynamics Beyond Uniform Hyperbolicity

Organizer(s) Bonatti, Christian ; Buzzi, Jérôme ; Crovisier, Sylvain ; Gan, Shaobo ; Pacifico, Maria José

Date(s) 13/05/2019 - 24/05/2019

linked URL https://conferences.cirm-math.fr/1947.html

00:00:00 / 00:00:00

8 9

Additive combinatorics methods in fractal geometry - lecture 2

By Pablo Shmerkin

Also appears in collection : Dynamique au-delà de l’hyperbolicité uniforme / Dynamics Beyond Uniform Hyperbolicity

In the last few years ideas from additive combinatorics were applied to problems in fractal geometry and led to progress on some classical problems, particularly on the smoothness of Bernoulli convolutions and other self-similar measures. We will introduce some of these tools from additive combinatorics and present some of the main applications, including the smoothness of Bernoulli convolutions outside of a small set of exceptions, and for explicit values of the parameter.

Information about the video

Date of recording 14/05/2019
Date of publication 11/06/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19524503
Cite this video Shmerkin, Pablo (14/05/2019). Additive combinatorics methods in fractal geometry - lecture 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19524503
URL https://dx.doi.org/10.24350/CIRM.V.19524503

Domain(s)

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/1947/Slides/shmerkin-luminy2.pdf

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