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Conference on Computability, Complexity and Randomness
May 19-23, 2008
Institute of Mathematical Science, Nanjing University.
Nanjing, JiangSu Province, P. R. of China

Organizers
Verónica Becher (University of Buenos Aires, Argentina), Rod Downey (Victoria University, Wellington, New Zealand), Denis Hirschfeldt (University of Chicago, USA), Jack Lutz (Iowa State University, USA), Wolfgang Merkle (Universität Heidelberg, Germany), Joseph Miller (University of Connecticut, USA), Liang Yu (Nanjing University, China)

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Effective Geometric Measure Theory
by
Jan Reimann
University of California-Berkeley

We continue the study of geometric measure theory in the effective setting. We show that one of the central tools, Frostman's Lemma, yields an unexpected dichotomy of randomness notions. We also show that the counterpart for packing measures fails completely in the effective case. We investigate effective versions of typical applications of the potential theoretic methods, such as intersections and products of fractals. There appears to be an intriguing connection to randomness and dimension for product measures, and non-Lebesgue versions of van Lambalgen's Theorem.

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Date received: March 9, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawo-21.