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