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