---
res:
  bibo_abstract:
  - "We study rigidity of rational maps that come from Newton's root finding method
    for polynomials of arbitrary degrees. We establish dynamical rigidity of these
    maps: each point in the Julia set of a Newton map is either rigid (i.e. its orbit
    can be distinguished in combinatorial terms from all other orbits), or the orbit
    of this point eventually lands in the filled-in Julia set of a polynomial-like
    restriction of the original map. As a corollary, we show that the Julia sets of
    Newton maps in many non-trivial cases are locally connected; in particular, every
    cubic Newton map without Siegel points has locally connected Julia set.\r\nIn
    the parameter space of Newton maps of arbitrary degree we obtain the following
    rigidity result: any two combinatorially equivalent Newton maps are quasiconformally
    conjugate in a neighborhood of their Julia sets provided that they either non-renormalizable,
    or they are both renormalizable “in the same way”.\r\nOur main tool is a generalized
    renormalization concept called “complex box mappings” for which we extend a dynamical
    rigidity result by Kozlovski and van Strien so as to include irrationally indifferent
    and renormalizable situations.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Kostiantyn
      foaf_name: Drach, Kostiantyn
      foaf_surname: Drach
      foaf_workInfoHomepage: http://www.librecat.org/personId=fe8209e2-906f-11eb-847d-950f8fc09115
    orcid: 0000-0002-9156-8616
  - foaf_Person:
      foaf_givenName: Dierk
      foaf_name: Schleicher, Dierk
      foaf_surname: Schleicher
  bibo_doi: 10.1016/j.aim.2022.108591
  bibo_issue: Part A
  bibo_volume: 408
  dct_date: 2022^xs_gYear
  dct_identifier:
  - UT:000860924200005
  dct_isPartOf:
  - http://id.crossref.org/issn/0001-8708
  dct_language: eng
  dct_publisher: Elsevier@
  dct_subject:
  - General Mathematics
  dct_title: Rigidity of Newton dynamics@
...