Midwest Computability Seminar

Part v

The Midwest Computability Seminar is meeting remotely in the fall of 2021. The recurring Zoom link is:


Meeting ID: 997 5433 2165

Passcode: midwest

slides    Panopto video

This session will be held jointly with the Computability Theory and Applications Online Seminar.

DATE: Monday, November 8th, 2021

TIME: 3:30 - 4:30 PM Central Time

SPEAKER: Cristóbal Rojas - Pontifical Catholic University of Chile

Computability of Harmonic Measure

We will review recent results relating the geometry of a connected domain to the computability of its harmonic measure at a given point x. In particular, we will discuss examples of domains whose harmonic measure at x is always computable relative to x, but not uniformly. As a by-product, this construction produces "natural" examples of harmonic functions arising as solutions to a Dirichlet problem which are piecewise computable (i.e. all their values are computable relative to the input point), but not computable. This is a work in collaboration with I. Binder, A. Glucksam and M. Yampolsky.

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