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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