Atlas home || Conferences | Abstracts | about Atlas

The 1997 Spring Topology and Dynamics Conference
April 10-12, 1997
University of Southwestern Louisiana
Lafayette, LA, USA

Organizers
Bradd Clark, Kathleen Lopez, Vic Schneider, Roger Waggoner, Thelma West

View Abstracts

Distribution of Small Denominators
by
Valerio De Angelis
Nicholls State University
Coauthors: Scott Beslin, Doug Baney

We derive the probability distribution of the smallest denominator occurring in fractions that lie strictly between two real numbers uniformly chosen from the unit interval. The arguments are based on a binary tree of Farey fractions. A brief discussion of periodic points of a naturally associated map is also included, with the golden mean making yet another appearance as corresponding to a point of period two.

Date received: February 24, 1997

Copyright © 1997 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 # caam-16.