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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On measures of maximal and full dimension for polynomial automorphisms of $\mathbb{C} ^2$


Author: Christian Wolf
Journal: Trans. Amer. Math. Soc. 355 (2003), 3227-3239
MSC (2000): Primary 37C45, 37D35, 32H50; Secondary 37D20, 37FXX
Published electronically: March 12, 2003
MathSciNet review: 1974684
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Abstract: For a hyperbolic polynomial automorphism of $\mathbb{C} ^2$, we show the existence of a measure of maximal dimension and identify the conditions under which a measure of full dimension exists.


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Additional Information

Christian Wolf
Affiliation: Department of Mathematics, Wichita State University, Wichita, Kansas 67260-0033
Email: cwolf@math.twsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03287-2
PII: S 0002-9947(03)03287-2
Received by editor(s): July 30, 2001
Received by editor(s) in revised form: December 11, 2002
Published electronically: March 12, 2003
Additional Notes: The author was supported by a research fellowship of the Deutsche Forschungsgemeinschaft (DFG)
Article copyright: © Copyright 2003 American Mathematical Society