Blog posts

Density of powers

1 minute read

Published: January 24, 2023

Problem: Show that for almost every $x>1$ that {$x^k\mod 1$} is dense in $[0,1]$.

The Fatou-Sullivan Dictionary

4 minute read

Published: July 17, 2020

(A lot of this table/post was written quickly and needs reorganization/explanation/citations.)

Cantor Sets I: Some Topology

3 minute read

Published: June 28, 2020

I want to do some posts on my favorite topological space, the Cantor set. Cantor sets serve as important examples in virtually all fields of anlaysis and dynamical systems, as well as in geometric group theory and foliation theory. In this post I will describe some basic topological properties of Cantor sets, and in a following post I will describe some group actions on cantor sets.

Almost Tilings of the Unit Square (Part 1?)

4 minute read

Published: May 25, 2020

Note: This post first appeared on a now defunct blog on January 19, 2019

Test Post

less than 1 minute read

Published: August 14, 2015

This should be a heading