PC Seminar: Non-isotropic fractal percolation and random cascade measures
- Date
- 20 November 2025, 10:15–11:30
- Location
- Ångström Laboratory, 64119
- Type
- Seminar
- Lecturer
- Sascha Troscheit
- Organiser
- Matematiska institutionen
- Contact person
- Sascha Troscheit
Sascha Troscheit gives this seminar. Welcome to join!
Abstract: In recent decades, considerable progress has been made in understanding the fine geometric and measure-theoretic properties of fractal percolation and cascade measures, which found applications for explicit proofs of the KPZ relation in one dimension (Benjamini–Schramm 2009, Barral–Kupiainen–Nikula–Saksman–Webb 2014).
A recent direction is to move beyond stochastically self-similar models towards non-isotropic, or stochastically self-affine, variants. In this talk, I will survey some of these developments, focusing on self-affine percolation models, including directed percolation, and discuss connections with random cascade measures and related applications.
(Based on joint work with István Kolossváry.)
This is a seminar in our seminar series on Probability and Combinatorics (PC).