Integral Means Spectrum: Examples of Exact Computation

Explore the concept of integral means spectrum through a lecture focusing on exact computation examples. Delve into the study of compact connected infinite subsets of the plane and their associated harmonic measure, which represents the hitting distribution of Brownian motion started at infinity. Examine the multifractal spectrum of this measure and its equivalence to the integral-means spectrum of the corresponding Riemann map. Investigate deterministic and random cases where explicit computation of this spectrum is possible. Learn about the collaborative research conducted with B. Duplantier, Nguyen Thi Phuong Chi, and Han Yong, spanning institutions in Paris-Saclay, Ho Chi Minh City, and Shenzhen.

Michel Zinsmeister (Universite Orleans)