Midwest Computability Seminar

XXVII
Part v



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

https://notredame.zoom.us/j/99754332165?pwd=RytjK1RFZU5KWnZxZ3VFK0g4YTMyQT09

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

TITLE:
Computability of Harmonic Measure

ABSTRACT:
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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