In this talk I will present new results on the Hausdorff
dimension $HD(J_F)$ of the Julia set of the Feigenbaum quadratic
polynomial $F$ (ongoing joint work with Igors Gorbovickis and Warwick
Tucker). We show that $HD(J_F)$ can be estimated using a version of
McMullen's eigenvalue algorithm. Using rigorous computer calculations we
obtain that $HD(J_F)>1.4978$, which is the first known non-trivial
estimate on this value from below.
Meeting ID: 842 4054 6345
Passcode: 023053