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Non-bulging Baker domains for transcendental skew products

Authors

  • Anna Miriam Benini
  • Tom Potthink
  • Jasmin Raissy

Abstract

In this paper we show that Baker domains of transcendental skew products can either bulge or not, depending on the higher order terms. This is in contrast to polynomial skew products where all Fatou components with bounded orbits of an invariant attracting fiber do bulge.

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Posted

2025-10-29