PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephen Simpson.

Title:Kolmogorov complexity and geometric measure theory
Seminar:Logic Seminar
Speaker:Jan Reimann, Pennsylvania State University
Abstract:
We study two central results of geometric measure theory - Frostman's Lemma and the existence of subsets of finite measure - from a computability theoretic view. We use computability theoretic methods to give a new proof of Frostman's Lemma and use it to prove a collapse of randomness notions. Furthermore, we will study the Muchnik degrees related to subsets of finite Hausdorff measure of a given Borel set.

Room Reservation Information

Room Number:MB315
Date:09 / 14 / 2010
Time:02:30pm - 03:45pm