Pure Maths Colloquium: Ariel Rapaport

This talk is part of the Pure Maths Colloquium at the University of St Andrews. Check out our upcoming talks at http://theran.lt/pure-colloquium/.

Where: Lecture Theatre D
When: Oct 18 2018 @ 16.00
Speaker: Ariel Rapaport University of Cambridge
Title: Dimension of planar self-affine sets and measures

A compact is called self-affine if there exist affine contractions such that . In the 1980s, Kenneth Falconer introduced a value , called the affinity dimension, which is the ‘‘expected’’ value for the dimension of . I will discuss a recent project with Mike Hochman, building on our joint work with Balázs Bárány, in which we establish the equality under mild assumptions.