UCD School of Mathematics and Statistics Seminars

Thomas Jordan (University of Bristol)

will speak on

Multifractal analysis for self-affine iterated function systems

Time: 4:00PM
Date: Tue 5th March 2019
Location: Seminar Room SCN 1.25 [map]

Abstract: I will start by describing a simple example (due to Besicovitch)
of multifractal analysis which consider the frequency of digits in binary expansions. I’ll then describe how this problem can be generalised to self-affine sets. In this setting the talk will describe how the problem
relates to the study of random matrix products and describe some progress towards solving the problem which is joint work with Ba\’lazs B\’ar\’any, Antti K\”aenm\”aki and Micha\l Rams.

(This talk is part of the Analysis series.)

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