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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Romain Dujardin (2004) studied this question.
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