Antti Käenmäki (Jyväskylä): Subadditive ergodic theory and applications

This talk serves as an introduction to subadditive ergodic theory and thermodynamical formalism. The main motivation for developing such theory comes from the submultiplicativity of the operator norm. Conversely, the main applications of the theory are random matrix products, thermodynamic formalism for matrix-valued potentials, and dimension theory for self-affine sets. In the talk, I give a brief historical account for the topic, review some of the recent advances, and exhibit possible directions for future work.