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Hénon-like mappings in [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 126, Number 2, April 2004
- pp. 439-472
- 10.1353/ajm.2004.0010
- Article
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Abstract
We study the dynamics of a class of nonalgebraic holomorphic diffeomorphisms, topological analogues in the unit bidisk of complex Hénon mappings in [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="02i" /]. In particular a dynamical degree is defined, which is related to topological entropy, and we construct stable/unstable invariant currents, and prove there is a unique, mixing, measure of maximal entropy, with product structure.
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