Seminars & Colloquia Calendar
Do It Again! And Again. And Again. And...
Location: Hill 701 (Graduate Student Lounge)
Date & time: Friday, 23 September 2022 at 1:45PM - 3:00PM
“sin2(?) is odious to me.” — Carl Friedrich Gauss
There's lots of interesting behavior to be found when iterating a function. One thing I will show is that by putting a metric on the set of pictures in a plane, we can watch a randomized point reliably trace out a fractal. Another has to do with cycles of functions on the real numbers, i.e. points x where fn(x)=x. It turns out that there's a not terribly complicated way to specify exactly when a continuous function with an n-cycle must also have an m-cycle, and I guarantee it won't be anything you're expecting (unless you've seen it before). And if you'd like, when the talk is done, I can iterate it and give it again! And again! And...