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

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- by Christian Wolf PDF
- Trans. Amer. Math. Soc.
**355**(2003), 3227-3239 Request permission

## 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.## References

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## Additional Information

**Christian Wolf**- Affiliation: Department of Mathematics, Wichita State University, Wichita, Kansas 67260-0033
- MR Author ID: 673329
- Email: cwolf@math.twsu.edu
- 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)
- © Copyright 2003 American Mathematical Society
- 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
- MathSciNet review: 1974684