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Intersections and embeddings of self-similar sets

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  • UserMike Hochman (The Hebrew University, Jerusalem) Speaker website
  • ClockWednesday 26 February 2025, 13:30-15:00
  • HouseMR4, CMS.

If you have a question about this talk, please contact Julia Wolf .

A few years ago Shmerkin and Wu independently proved a 50-year old conjecture by Furstenberg about the dimension of intersection of certain self-similar (“Cantor-like”) sets in the real line. Their methods, however, apply only to the homogeneous case, and the general case remains open. I will discuss the connection of this problem to a related embedding problem (due to Feng, Wang and Rao), and will outline recent work with Algom and Wu in which we make some further progress on the problem. At the same time I will describe new results about the closely related problem of alpha-beta-sets in the 1-torus.

This talk is part of the Discrete Analysis Seminar series.

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