On Deformation Space Analogies between Kleinian Reflection Groups and Antiholomorphic Rational Maps
DOI10.1007/s00039-022-00621-8zbMath1521.37045arXiv2202.03550MaRDI QIDQ6390440
Sabyasachi Mukherjee, Yusheng Luo, Russell Lodge
Publication date: 7 February 2022
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) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Reflection groups, reflection geometries (51F15) Combinatorics and topology in relation with holomorphic dynamical systems (37F20) Bifurcations; parameter spaces in holomorphic dynamics; the Mandelbrot and Multibrot sets (37F46) Teichmüller theory; moduli spaces of holomorphic dynamical systems (37F34) Fuchsian and Kleinian groups as dynamical systems (37F32)
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