Tatiana Toro

University of Washington

Perturbing elliptic operators

To every second order elliptic divergence form operator on a nice domain one can associate a canonical measure, the elliptic measure. In the case of the Laplacian this canonical measure is the harmonic measure. In this talk we will discuss how perturbing an elliptic operator affects the properties of the elliptic measure. This is a question with a long history, which I will put in context before describing recent work with M. Akam, S. Hofmann and J.M. Martell.