Submitted by math_admin on Thu, 03/05/2020 - 13:21
preprint-id:
preprint-title:
Combinatorial Rigidity for Some Infinitely Renormalizable Unicritical Polynomials
preprint-abstract:
We prove Combinatorial rigidity for infinitely renormalizable unicritical polynomials, $f_c:z \mapsto z^d+c$, with a priori bounds and some "combinatorial condition". Combining with KL2, this implies local connectivity of the connectedness locus (the "Mandelbrot set" when $d=2$) at the corresponding parameter values.
preprint-year:
2007