CRC 878 C06 - Iterated Function Systems, Random Analytic Functions and Random Matrices

Basic data for this project

Description

In this project, we study aspects of random functions with a focus on random dynamical systems, random analytic functions and spectral properties of random matrices with stochastically dependent entries. Regarding random analytic func- tions, we are interested in the global and local behavior of their zeros, while in random matrix theory, we will concentrate on global and local eigenvalue statistics. As for iterated random functions, a new focus will be the systematic study of such random dynamical systems that are asymptotically linear at the endpoints of their state space.