On measures of maximal and full dimension for polynomial automorphisms of

Author:
Christian Wolf

Journal:
Trans. Amer. Math. Soc. **355** (2003), 3227-3239

MSC (2000):
Primary 37C45, 37D35, 32H50; Secondary 37D20, 37FXX

DOI:
https://doi.org/10.1090/S0002-9947-03-03287-2

Published electronically:
March 12, 2003

MathSciNet review:
1974684

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Abstract | References | Similar Articles | Additional Information

Abstract: For a hyperbolic polynomial automorphism of , 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:
https://doi.org/10.1090/S0002-9947-03-03287-2

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