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Local dynamics for fibered holomorphic transformations

arXiv:0705.2165 · doi:10.1088/0951-7715/20/12/011

Abstract

Fibered holomorphic dynamics are skew-product transformations over an irrational rotation, whose fibers are holomorphic functions. In this paper we study such a dynamics on a neighborhood of an invariant curve. We obtain some results analogous to the results in the non fibered case.