On holomorphic families of rational maps: Finiteness, rigidity and stability

DOI10.2996/KMJ/1106157295zbMath0993.37025OpenAlexW1997732869MaRDI QIDQ5940257

Hiroshige Shiga

Publication date: 29 July 2001

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1106157295

zbMATH Keywords

Teichmüller spacemonodromyJulia setRiemann surfacecomplex dynamicsfiniteness theoremholomorphic families of rational mapspunctured diskSullivan's dictionary

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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