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Conformal Geometry and Dynamics
Conformal Geometry and Dynamics
ISSN 1088-4173

 

Dynamics of shift-like polynomial diffeomorphisms of ${\mathbf{C}}^{N}$


Authors: Eric Bedford and Victoria Pambuccian
Journal: Conform. Geom. Dyn. 2 (1998), 45-55
MSC (1991): Primary 32H50
Published electronically: May 12, 1998
MathSciNet review: 1624646
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Abstract: We identify a family of polynomial diffeomorphisms of ${\mathbf C}^N$ and show that these mappings may be studied using certain methods (filtration and potential-theoretic) which were developed for the study of polynomial diffeomorphisms of ${\mathbf C}^2$.


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Additional Information

Eric Bedford
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Email: bedford@indiana.edu

Victoria Pambuccian
Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Address at time of publication: Department of Mathematics, SUNY Potsdam, Potsdam, New York 13676
Email: pambucv@potsdam.edu

DOI: http://dx.doi.org/10.1090/S1088-4173-98-00027-7
PII: S 1088-4173(98)00027-7
Received by editor(s): January 5, 1998
Received by editor(s) in revised form: March 16, 1998
Published electronically: May 12, 1998
Article copyright: © Copyright 1998 American Mathematical Society