Simons Semester in Banach Center: "Dynamical Systems"

Károly Simon: Dimension Theory of self-affine and almost self-affine sets and measures

Károly Simon (Budapest University of Technology and Economics)

Dimension Theory of self-affine and almost self-affine sets and measures

9 x 45min

Contents:

i) Feng and Hu Theory about the dimension of diagonally self-affine measures.
ii) Classical almost all type results of dimension theory of self-affine sets and measures.
iii) Planar self-affine sets and measures constructed by positive matrices and their generalizations.
iv) Dimension theory of almost self-affine sets and measures. Some results about their multifractal analysis.