2018/12/19 by Hiroshige Shiga, Shiga, Hiroshige · 1 citation
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #Primary 30C62 #Secondary 30F25 #math.CV #msc:30C62 #msc:30F25
paper · pdf · doi:10.48550/arxiv.1812.07785
openalex publication_date 2018/12/19 · arxiv created 2019/08/29 · arxiv updated 2019/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The complement of a Cantor set in the complex plane is itself regarded as a Riemann surface of infinite type. The problem is the quasiconformal equivalence of such Riemann surfaces. Particularly, we are interested in Riemann surfaces given by Cantor sets which are created through dynamical methods. We discuss the quasiconformal equivalence for the complements of Cantor Julia sets of rational functions and random Cantor sets.