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

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 (2017), no. 4, pp. 2847–2905

DOI 10.4171/OWR/2017/47