Symbolic dynamics for angle-doubling on the circle. II. Symbolic description of the abstract Mandelbrot set

For pt.I see Ergodic Theory and Related Topics (Lecture Notes in Mathematics), Berlin: Springer p.1 (1992). Under the assumption that the Mandelbrot set is locally connected, its boundary can be considered as a topological factor T/ approximately of the circle T, which is called the abstract Mandelbrot set. The structure of T/ approximately is tightly connected with the angle-doubling map on T. The authors give an abstract description of the equivalence relation approximately , discuss results by Thurston (1985) and Lavaurs (1986) from the viewpoint of symbolic dynamics and study renormalization in the abstract Mandelbrot set.