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We prove a structure theorem for the multibrot sets, which are the higherdegree analogues of the Mandelbrot set, and give a complete picture of thelanding behavior of the rational parameter rays and the bifurcation phenomenon.Our proof is inspired by previous works of Schleicher and Milnor on thecombinatorics of the Mandelbrot set; in particular, we make essential use ofcombinatorial tools such as orbit portraits and kneading sequences. However, weavoid the standard global counting arguments in our proof and replace them bylocal analytic arguments to show that the parabolic and the Misiurewiczparameters are landing points of rational parameter rays.

Rational Parameter Rays of The Multibrot Sets