Pseudodigits

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Speaker: 

Curry, Eva

Affiliation: 
Acadia University

Abstract

In a multidimensional radix representation, also known as a
positional number system, there may be some integer vectors with
periodic orbits under the transformation defined by the Euclidean
algorithm. For example, if we consider the integers base 2 with digits
0 and 1, then repeated applications of the Euclidean algorithm to any
negative integer will eventually fall into the orbit TeX Embedding failed!,
since TeX Embedding failed!. We choose a representative of each (nonzero)
periodic orbit, and define these representatives to be pseudodigits.
This talk will introduce some results on existence and properties of
periodic orbits and pseudodigits.

Video: 

Details

Date & Time: 
Tuesday, May 17, 2011 - 13:30 - 14:00
Venue/Room: 
ASB 10900