Two-dimensional Blaschke Products: Degree growth and ergodic consequences
Dynamical Systems
2009-06-19 v2
Abstract
We study the dynamics of Blaschke products in two dimensions, particularly the rates of growth of the degrees of iterates and the corresponding implications for the ergodic properties of the map.
Cite
@article{arxiv.0809.2340,
title = {Two-dimensional Blaschke Products: Degree growth and ergodic consequences},
author = {Enrique R. Pujals and Roland K. W. Roeder},
journal= {arXiv preprint arXiv:0809.2340},
year = {2009}
}
Comments
Revised version: now contains computation of dynamical degree for all 2d Blaschke Products. Also fixed various errors