3 papers
math.DS2017
The Doorways Problem and Sturmian Words
Jason Siefken
The doorways problem considers adjacent parallel hallways of unit width each with a single doorway (aligned with integer lattice points) of unit width. It then asks, what are the p…
math.DS2014
A Minimal Subsystem of the Kari-Culik Tilings
Jason Siefken
The Kari-Culik tilings are formed from a set of 13 Wang tiles that tile the plane only aperiodically. They are the smallest known set of Wang tiles to do so and are not as well und…
math.DS2011
Ergodic Optimization of Super-continuous Functions in the Shift
Anthony Quas, Jason Siefken
Ergodic Optimization is the process of finding invariant probability measures that maximize the integral of a given function. It has been conjectured that "most" functions are opti…