Dynamics of shift-like polynomial diffeomorphisms of 
Authors:
Eric Bedford and Victoria Pambuccian
Journal:
Conform. Geom. Dyn. 2 (1998), 45-55
MSC (1991):
Primary 32H50
DOI:
https://doi.org/10.1090/S1088-4173-98-00027-7
Published electronically:
May 12, 1998
MathSciNet review:
1624646
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We identify a family of polynomial diffeomorphisms of 
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 
.
- [BS] Eric Bedford and John Smillie, Polynomial diffeomorphisms of 𝐶²: currents, equilibrium measure and hyperbolicity, Invent. Math. 103 (1991), no. 1, 69–99. MR 1079840, https://doi.org/10.1007/BF01239509
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- [BuS] G. Buzzard and J. Smillie, Complex dynamics in several variables, Flavors of Geometry, MSRI Publications, Vol. 31, 1997. CMP 98:06
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- [FM] Shmuel Friedland and John Milnor, Dynamical properties of plane polynomial automorphisms, Ergodic Theory Dynam. Systems 9 (1989), no. 1, 67–99. MR 991490, https://doi.org/10.1017/S014338570000482X
- [H] 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
- [HP] John H. Hubbard and Peter Papadopol, Superattractive fixed points in 𝐶ⁿ, Indiana Univ. Math. J. 43 (1994), no. 1, 321–365. MR 1275463, https://doi.org/10.1512/iumj.1994.43.43014
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: currents, equilibrium measure and hyperbolicity, Invent. Math., 103 (1991), 69-99. 
and Fatou-Bieberbach domains, Duke Math. J. 65 (1992), 345-380. 
, Indiana Univ. Math. J., 43 (1994), 321-365. Retrieve articles in Conformal Geometry and Dynamics of the American Mathematical Society with MSC (1991): 32H50
Retrieve articles in all journals with MSC (1991): 32H50
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:
https://doi.org/10.1090/S1088-4173-98-00027-7
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
