Working session: Additive combinatorics, entropy, and fractal geometry. Abstracts from the working session held October 8--13, 2017
Summary: 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.
scientific article; zbMATH DE number 7036447
scientific article