Two-dimensional Blaschke Products: Degree Growth and Ergodic Consequences

We study the dynamics of Blaschke products in two dimensions, particularly the rates of growth for the degrees of iterates and the corresponding implications for the ergodic properties of the map.

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Bibliographic Details
Published in:Indiana University mathematics journal 2010-01, Vol.59 (1), p.301-325
Main Authors: Pujals, Enrique R., Roeder, Roland K.W.
Format: Article
Language:English
Subjects:
Algebra
Coordinate systems
Eigenvalues
Entropy
Ergodic theory
Exact sciences and technology
General mathematics
General, history and biography
Infinity
Mathematical surfaces
Mathematics
Sciences and techniques of general use
Topology
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Description
Summary:We study the dynamics of Blaschke products in two dimensions, particularly the rates of growth for the degrees of iterates and the corresponding implications for the ergodic properties of the map.
ISSN:0022-2518
1943-5258
DOI:10.1512/iumj.2010.59.3789