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Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

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

Author(s): Christian Wolf
Journal: Trans. Amer. Math. Soc. 355 (2003), 3227-3239.
MSC (2000): Primary 37C45, 37D35, 32H50; Secondary 37D20, 37FXX
Posted: March 12, 2003
MathSciNet review: 1974684
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Abstract | References | Similar articles | Additional information

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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L. Barreira and C. Wolf, Measures of maximal dimension for hyperbolic diffeomorphisms, Comm. Math. Phys., to appear

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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: 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
Posted: March 12, 2003
Additional Notes: The author was supported by a research fellowship of the Deutsche Forschungsgemeinschaft (DFG)
Copyright of article: Copyright 2003, American Mathematical Society




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