Blog posts

2023

Density of powers

1 minute read

Published:

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

2020

The Fatou-Sullivan Dictionary

4 minute read

Published:

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

Cantor Sets I: Some Topology

3 minute read

Published:

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.

2015

Test Post

less than 1 minute read

Published:

This should be a heading