Oberwolfach Reports

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Volume 14, Issue 4, 2017, pp. 2847–2905
DOI: 10.4171/OWR/2017/47

Published online: 2018-12-18

Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry

Emmanuel Breuillard[1], Michael Hochman[2] and Pablo Shmerkin[3]

(1) Universit√§t M√ľnster, Germany
(2) The Hebrew University of Jerusalem, Israel
(3) Universidad Torcuato Di Tella, Buenos Aires, Argentina

The aim of the workshop was to survey recent developments in fractal geometry, specifically those related to projections and slices of planar self-similar sets, and dimension and absolute continuity of self-similar measures on the line, in particular Bernoulli convolutions. The methods combine ergodic theory, additive combinatorics, and algebraic number theory. Talks were high-level descriptions of the results, aimed at a mixed audience with minimal background in real analysis, ergodic theory and dimension theory.

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Breuillard Emmanuel, Hochman Michael, Shmerkin Pablo: Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry. Oberwolfach Rep. 14 (2017), 2847-2905. doi: 10.4171/OWR/2017/47