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math.DSFeb 1, 2017
10
citations (OpenAlex)
authors
  • Genadi Levin
  • Weixiao Shen
  • Sebastian van Strien
institutions
  • Fudan University
  • Hebrew University of Jerusalem
  • Imperial College London
arXiv abstractPDF
paper

Transversality for critical relations of families of rational maps: an elementary proof

arXiv:1702.02582 · doi:10.1007/978-3-030-16833-9_11

Abstract

In this paper we will give a short and elementary proof that critical relations unfold transversally in the space of rational maps.

Published version (open access)

References in corpus (1)

  • Monotonicity of entropy and positively oriented transversality for families of interval maps

Cited by in corpus (7)

  • Positive Transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps
  • Monotonicity of entropy and positively oriented transversality for families of interval maps
  • Zalcman functions and similarity between the Mandelbrot set, Julia sets, and the tricorn
  • Moduli Spaces for Dynamical Systems with Portraits
  • Density of hyperbolicity of real Newton maps
  • Monotonicity of entropy for unimodal real quadratic rational maps
  • Transversality in the setting of hyperbolic and parabolic maps
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