Continued Fractions on the Heisenberg Group

Anton Lukyanenko
University of Illinois at Urbana-Champaign

We provide a notion of continued fractions (CF) on the Heisenberg group. In particular, we show that CF approximations of a point h converge to h, and discuss connections to ergodic theory and complex hyperbolic geometry.

Presentation (PDF File)

Back to Workshop II: Dynamics of Groups and Rational Maps