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

Author(s): Eric Bedford; Victoria Pambuccian
Journal: Conform. Geom. Dyn. 2 (1998), 45-55.
MSC (1991): Primary 32H50
Posted: May 12, 1998
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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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E. Bedford and B.A. Taylor, The Dirichlet problem for a complex Monge-Ampère equation, Invent. Math. 37 (1976), 1-44. MR 56:3351

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S. Friedland and J. Milnor, Dynamical properties of plane polynomial automorphisms. Ergodic Theory Dyn. Syst. 9, 67-99 (1989). MR 90f:58163

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J.H. Hubbard, The Hénon mapping in the complex domain. In: Chaotic Dynamics and Fractals. Barnsley, M., Demko, S. (eds.), pp. 101-111. New York: Academic Press 1986. CMP 19:01

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J.H. Hubbard and P. Papadopol, Superattractive fixed points in ${\mathbf{C}}^{n}$, Indiana Univ. Math. J., 43 (1994), 321-365. MR 95e:32025

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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: 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
Posted: May 12, 1998
Copyright of article: Copyright 1998, American Mathematical Society

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