Focused Workshop on Networks and Their Limits

The workshop is aimed at studying recent advances and open questions of the Beurling theory of arithmetical semigroups.

The goal of this workshop is to investigate the connections between various measurements of complexity of lattices (in topological groups) and their co-volume.

The focused workshop will discuss some recent applications of harmonic analysis methods in fractal geometry. Significant results have recently been achieved in this field, and we would like to better understand some of them through lectures from experts in this field.

The topic of the focused workshop is related to the results and methods of Pablo Shmerkin's 2019 Anals of Maths paper: "On Furstenberg's intersection conjecture, self-similar measures, and the L q norms of convolution"s.

The mini workshop focuses on methods for obtaining key estimates on sharp lower bounds for the spectral gap of the finite coordinate processes.

The workshop focuses around the questions of spectral rigidity motivated by the famous question: Can you hear the shape of a drum? Recent progress on dynamical spectral rigidity will be discussed.

The subject of the true workshop: applying methods and results developed in recent years to prove central limit theorems for random walks in so-called divergence-free random environments...

This series of events is jointly organised by the community of probabilists -- in a very wide sense -- of Vienna (IST, TUW, UW) and Budapest (BME, ELTE, HUN-REN ARIM).

The participants of this workshop will aim to apply new mathematical tools (some of which were developed by the attendees themselves) to advance the theory of ARW (Activated Random Walk) in the context of discrete probability.