[PS] The Dynamics of Continued Fractions - Taylor McAdam

Event time: 
Friday, November 6, 2020 - 5:30pm
Event description: 
yums seminar series

The Dynamics of Continued Fractions

Taylor McAdam

Recording

https://yale.zoom.us/rec/share/E1HehYfVQvvkEHDZ_BUjHlUG-o9R1-AgNFMA7C7tq…
https://yale.zoom.us/rec/share/E1HehYfVQvvkEHDZ_BUjHlUG-o9R1-AgNFMA7C7tq…
https://drive.google.com/drive/folders/1EXkg3q-ziS0EormBC34Sn8G4Zt6q3-1n…

Abstract

In this talk, we will introduce the concept of simple continued fractions and explore some of their interesting properties.  We will look at how continued fractions can be used to efficiently approximate rational numbers and see some applications.  At the end of the talk, we will touch on some connections between continued fractions, dynamical systems, and hyperbolic geometry.