Abstract
We report on recent results about the dimension and smoothness properties of self-similar sets and measures. Closely related to these are results on the linear projections of such sets, and dually, their intersections with affine subspaces. We also discuss recent progress on the the Bernoulli convolutions problem.
| Original language | English |
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| Title of host publication | Invited Lectures |
| Editors | Boyan Sirakov, Paulo Ney de Souza, Marcelo Viana |
| Publisher | World Scientific Publishing Co. Pte Ltd |
| Pages | 1967-1993 |
| Number of pages | 27 |
| ISBN (Electronic) | 9789813272927 |
| State | Published - 2018 |
| Event | 2018 International Congress of Mathematicians, ICM 2018 - Rio de Janeiro, Brazil Duration: 1 Aug 2018 → 9 Aug 2018 |
Publication series
| Name | Proceedings of the International Congress of Mathematicians, ICM 2018 |
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| Volume | 3 |
Conference
| Conference | 2018 International Congress of Mathematicians, ICM 2018 |
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| Country/Territory | Brazil |
| City | Rio de Janeiro |
| Period | 1/08/18 → 9/08/18 |
Bibliographical note
Publisher Copyright:© Proceedings of the International Congress of Mathematicians, ICM 2018. All rights reserved.