School on Dimension Theory of Fractals

The aim of the school is to study various aspects of fractal geometry, motivated by iterated function systems, dynamical systems and probability theory.

The speakers of the school specified the topic of their lectures as follows:

•    De-Jun Feng (Chinese University of Hong Kong)
In this short course, we discuss the ergodic and dimensional properties of certain fractal measures associated with conformal and affine IFSs. We prove the exact dimensionality of these fractal measures and give its applications to the dimension of fractal sets.
•   Antti Käenmäki (University of Oulu)
In this minicourse, we establish a connection between the Hausdorff dimension of tangent sets and the Assouad dimension. We also exhibit applications of this connection.
•    Michał Rams (IMPAN, Warsaw)
Cocycles of circle diffeomorphisms.
•    Pablo Shmerkin (University of British Columbia)
Additive Combinatorics methods in Fractal Geometry.

The registration is open.

Deadline for applying for financial support: 04.30.2024