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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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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container_title Indiana University mathematics journal
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creator Pujals, Enrique R.
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description 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.
doi_str_mv 10.1512/iumj.2010.59.3789
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ispartof Indiana University mathematics journal, 2010-01, Vol.59 (1), p.301-325
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source JSTOR Archival Journals and Primary Sources Collection
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
title Two-dimensional Blaschke Products: Degree Growth and Ergodic Consequences
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