Logarithmic capacity and renormalizability for landing on the Mandelbrot set

We study renormalizability of external angles of the Mandelbrot set M. Estimates are made of the logarithmic capacity of sets of angles that are infinitely renormalizable with a specific sequence of periods, using a substitution due to Douady. These show that many of the infinitely renormalizable rays do land on M, which provides further evidence in support of the conjecture that M is locally connected