Absolute Continuity of the Robin Harmonic Measure on Rough Domains

Watch a mathematical physics lecture exploring the absolute continuity of Robin harmonic measure on domains with rough boundaries, delivered by Guy David from the University of Paris Sud, Orsay at the Institute for Advanced Study. Delve into the fundamental question of absolute continuity relative to reference measures, specifically examining cases where traditional Dirichlet boundary conditions are replaced with Robin conditions. Learn about the mathematical relationships between lung mechanics and harmonic measures through collaborative research findings with S. Decio, M. Engelstein, M. Filoche, S. Mayboroda, and M. Michetti. Explore how the Robin condition ∂u∂n+au=0 (where a>0 is constant) differs from the classical Dirichlet condition u=0 on boundary domains.