E. Shchetka

collaborators

2 papers

math.DS2026

Mixing for Free Semigroup Actions of Blaschke Products on the Circle

Ekaterina Shchetka

We study mixing at a double exponential rate on analytic observables and ask how much of a map is remembered by its rate of mixing. For finite Blaschke products of the circle with…

math-ph2019

Difference equations in the complex plane: quasiclassical asymptotics and Berry phase

Alexander Fedotov, Ekaterina Shchetka

We study solutions to the difference equation $Ψ (z + h) = M (z) Ψ (z)$ where $z$ is a complex variable, $h > 0$ is a parameter, and $M : C \mapsto S L (2, C)$ is a given analyti…