We continue studying branched covering maps of the plane with expanding properties, which we call expanding polymodials. They are analogous to piecewise expanding interval maps and have properties similar to those of complex polynomials (in particular, the Julia set and a lot of other notions from complex dynamics can be defined for expanding polymodials). In this paper we include the case when the Julia set is disconnected, study its topological properties and its Hausdorff dimension.
机构:
Univ Juarez Autonoma Tabasco, Div Acad Ciencias Basicas, Av Univ S-N, Cunduacan 86690, Tabasco, MexicoUniv Juarez Autonoma Tabasco, Div Acad Ciencias Basicas, Av Univ S-N, Cunduacan 86690, Tabasco, Mexico
Manuel Martinez, Luis
Ble, Gamaliel
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机构:
Univ Juarez Autonoma Tabasco, Div Acad Ciencias Basicas, Av Univ S-N, Cunduacan 86690, Tabasco, MexicoUniv Juarez Autonoma Tabasco, Div Acad Ciencias Basicas, Av Univ S-N, Cunduacan 86690, Tabasco, Mexico