JournalsowrVol. 14, No. 4pp. 2847–2905

Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry

  • Emmanuel Breuillard

    Universität Münster, Germany
  • Michael Hochman

    The Hebrew University of Jerusalem, Israel
  • Pablo Shmerkin

    Universidad Torcuato Di Tella, Buenos Aires, Argentina
Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry cover

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Abstract

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.

Cite this article

Emmanuel Breuillard, Michael Hochman, Pablo Shmerkin, Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry. Oberwolfach Rep. 14 (2018), no. 4, pp. 2847–2905

DOI 10.4171/OWR/2017/47