Dimension of invariant measures for affine iterated function systems

Vortrag von Dr. Feng De-Jun

Sprecher eingeladen von: Prof. Dr. Alexander Gorodnik

Datum: 20.05.19  Zeit: 14.00 - 15.00  Raum: ETH HG G 43

Iterated function system (IFS) is a broad scheme for generating fractal sets and measures. In this talk, we discuss the dimensional properties of certain fractal measures associated with affine IFS. We prove the exact dimensionality of ergodic stationary measures for any average-contractive affine IFS. Applications are given to the dimensions of self-affine sets, as well as their projections and slices.