On measures of maximal and full dimension for polynomial automorphisms of ℂ²

Wolf, Christian

doi:10.1090/S0002-9947-03-03287-2

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

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