Quadrature domains and the real quadratic family
نویسندگان
چکیده
We study several classes of holomorphic dynamical systems associated with quadrature domains. Our main result is that real-symmetric polynomials in the principal hyperbolic component Mandelbrot set can be conformally mated a congruence subgroup ofPSL(2,Z)\mathrm {PSL}(2,\mathbb {Z}), and this conformal mating Schwarz function simply connected domain.
منابع مشابه
Regular and stochastic dynamics in the real quadratic family.
We prove the Regulat or Stochastic Conjecture for the real quadratic family which asserts that almost every real quadratic map Pc, c in [-2, 1/4], has either an attracting cycle or an absolutely continuous invariant measure.
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ژورنال
عنوان ژورنال: Conformal geometry and dynamics
سال: 2021
ISSN: ['1088-4173']
DOI: https://doi.org/10.1090/ecgd/361