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Density of powers
1 minute read
Published:
Problem: Show that for almost every $x>1$ that {$x^k\mod 1$} is dense in $[0,1]$.
The Fatou-Sullivan Dictionary
2 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.
Almost Tilings of the Unit Square (Part 1?)
5 minute read
Published:
Note: This post first appeared on a now defunct blog on January 19, 2019