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Garcia Numbers

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Speaker: 

Hare, Kevin

Affiliation: 
University of Waterloo

Abstract

Garcia numbers are algebraic integers greater than 1, of norm 2, such that all conjugates are strictly greater than 1 in absolute value. These numbers have numerous applications, including the study of Bernoulli convolutions, Garcia Entropy and Canonical number systems. Despite their wide ranging applications, very little is known about the set of Garcia numbers. In this talk we talk about some recent work on the structure of the set of Garcia numbers.

Video: 

Details

Date & Time: 
Wednesday, May 18, 2011 - 14:00 - 14:30
Venue/Room: 
ASB 10900