Institute of Mathematics Jena

Summer School

Spectral Theory
Schrödinger Operators

Jena, July 31 - August 3, 2018

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Konstantin Schäfer (Universität Bremen)
An adapted version of Lin's criterion for exactness

Lin's Criterion characterizes exactness (exactness gives ergodicity) of a dynamical system using the transfer operator and integrable functions. Under a few additional conditions, we will be able to improve Lin's criterion such that only a subspace of the integrable functions is needed for the characterization. In particular, we will have a look at concave, strictly increasing functions and discuss an alternate proof for the exactness of the Farey map.