GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH
GEOMETRIC LIMITS OF MANDELBROT AND JULIA SETS UNDER DEGREE GROWTH
First, for the family P n,c (z) = z n + c, we show that the geometric limit of the Mandelbrot sets M n (P) as n → ∞ exists and is the closed unit disk, and that the geometric limit of the Julia sets J(P n,c ) as n …