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Newhouse Laminations of polynomials on C2

  • Durham University
  • Stony Brook University

Research output: Contribution to journalArticlepeer-review

Abstract

It has been recently discovered that in smooth unfoldings of maps with a rank-one homoclinic tangency there are codimension two laminations of maps with infinitely many sinks. Indeed, these laminations, called Newhouse laminations, occur also in the holomorphic context. In the space of polynomials of C2, with bounded degree, there are Newhouse laminations.

Original languageEnglish
Article number2050091
JournalInternational Journal of Mathematics
Volume31
Issue number11
DOIs
StatePublished - Oct 1 2020

Keywords

  • Dynamical systems
  • Holomorphic dynamics
  • Homoclinic tangency
  • Newhouse laminations
  • Newhouse phenomenon
  • Several complex variables

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