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.