2021
DOI: 10.1142/9789814713955_fmatter
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Front Matter

Abstract: This paper works on the structure of infinitely connected Fatou damains of rational maps in terms of Koebe uniformization. Due to the complicated boundary behavior, the existing uniformization results are failed to apply in general. We proved that if the rational map is geometrically finite, then its infinitely connected attracting Fatou damain is conformally homeomorphic to a circle domain.

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“…Although his aggressive tendencies may have caused him problems at the time, they also contributed to his intense and passionate personality, which he channeled into his creative writing (Baker, 1969). Additionally, in the work The Naughty Boys at the Crossroads , Wang (2006) wrote over 100 cases of famous scientists and innovators, including Nobel Prize winners, who had experienced a mischievous or even aggressive childhood but finally made outstanding scientific creative achievements after a psychological transformation.…”
Section: Introductionmentioning
confidence: 99%
“…Although his aggressive tendencies may have caused him problems at the time, they also contributed to his intense and passionate personality, which he channeled into his creative writing (Baker, 1969). Additionally, in the work The Naughty Boys at the Crossroads , Wang (2006) wrote over 100 cases of famous scientists and innovators, including Nobel Prize winners, who had experienced a mischievous or even aggressive childhood but finally made outstanding scientific creative achievements after a psychological transformation.…”
Section: Introductionmentioning
confidence: 99%