We review some results and open problems for harmonic measure. Their common element is their simple geometric character. Such classical results are the projection estimates of Beurling, Nevanlinna and ...

Elliptic operators play a pivotal role in the study of partial differential equations by characterising phenomena as diverse as heat distribution and potential theory. When paired with the concept of ...

Among all curves in the closed unit disk that meet every radius, there is one, γ 0, whose harmonic measure at the origin is minimal. We give an explicit description of γ 0 and compute its harmonic ...