Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Prof. Michel Zinsmeister, University of Orleans, France
Inviter:
Title:
On the McMullen asymptotic variance
Time & Venue:
2018.12.4 16:00-17:00 N913
Abstract:
Let t-> X_t be a smooth path in the universal Teichmuller space with X_0=0 and \Gamma_t be the limit set of the quasi fuchsian associated group. When this path comes from some dynamical framework, McMullen has given a formula for the second derivative at 0 of the Hausdorff dimension of \Gamma_t and asked if this formula is true in general. I will show that the answer to this question is no but is yes in the case of SLE_2. (joint work with Nhat Le and Hieu He)