# Pseudodigits

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 - ‹ previous
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