Two-dimensional Blaschke Products: Degree growth and ergodic consequences

Details Two-dimensional Blaschke Products: Degree growth and ergodic consequences Two-dimensional Blaschke Products: Degree growth and ergodic consequences

2008-09-13

arxiv.org/abs/0809.2340v2

Mathematics

Dynamical Systems

Revised version: now contains computation of dynamical degree for all 2d Blaschke Products. Also fixed various errors

Scientific paper

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.

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