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New Zealand Mathematics Colloquium 2000
November 26-29, 2000
Dept of Mathematics, University of Waikato
Hamilton, New Zealand

Organizers
Kevin Broughan, Rua Murray, Ernie Kalnins, Stephen Joe

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Randomness, Computability, and Density
by
Denis R. Hirschfeldt
Victoria University of Wellington
Coauthors: Rod Downey (Victoria University of Wellington), André Nies (The University of Chicago)

Solovay reducibility has proved to be an important tool in the study of the relative randomness of computably enumerable reals. However, the degree structure to which it gives rise is not yet very well understood. This talk will focus on new results about the Solovay degrees that contribute to our understanding of their structure while further witnessing their ability to provide insight into the nature of randomness.

Randomness, Computability, and Density

Date received: September 28, 2000


Copyright © 2000 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 # caek-32.