Iterated Function Systems, Random Analytic Functions and Random Matrices (C06)

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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 statis- tics. 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.