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@PHDTHESIS{Jung:56990,
      author       = {Jung, Wolf},
      othercontributors = {Enß, Volker},
      title        = {{H}omeomorphisms on edges of the {M}andelbrot set},
      address      = {Aachen},
      publisher    = {Publikationsserver der RWTH Aachen University},
      reportid     = {RWTH-CONV-119062},
      pages        = {172 S. : Ill., graph. Darst.},
      year         = {2002},
      note         = {Aachen, Techn. Hochsch., Diss., 2002},
      abstract     = {Consider the iteration of complex quadratic polynomials.
                      They form a one-parameter family, and the Mandelbrot set is
                      defined as a subset of the parameter plane: it contains
                      those parameters, such that the Julia set of the
                      corresponding polynomial is connected. Homeomorphisms of
                      subsets of the Mandelbrot set are constructed by
                      quasi-conformal surgery in the dynamic plane. These
                      homeomorphisms have the new property that they are mapping
                      some set onto itself in a non-trivial way, resulting in a
                      countable family of pairwise homeomorphic fundamental
                      domains. Edges and frames are families of subsets, which are
                      constructed combinatorially, and which are pairwise
                      homeomorphic. Moreover, homeomorphisms at Misiurewicz points
                      are constructed, which provide repelling dynamics in the
                      parameter plane. This property is compared to the known
                      asymptotic self-similarity.},
      cin          = {100000},
      ddc          = {510},
      cid          = {$I:(DE-82)100000_20140620$},
      typ          = {PUB:(DE-HGF)11},
      urn          = {urn:nbn:de:hbz:82-opus-3719},
      url          = {https://publications.rwth-aachen.de/record/56990},
}