Tiling Dynamic Systems
A dynamical system is like a function, but we usually learn about how the function works by taking a set of values, inputting them into the function, and examining the corresponding set of outputs. For a dynamical system, you start with one value, input it into the map, look at the output value, then enter it into the map, look at the new output, enter it, and so on. A tiling dynamical system works in a similar manner where the map is a translation, and the input values are tiles. Related topics include symbolic dynamics and chaos theory.

 

Web Resources

• For more tiling dynamical systems as well as pictures, see "Pictures of my Research."
• For more information on the mathematics of a tiling dynamical system, see "Tiling Dynamical Systems."
• For a good, but heavily math-based introduction to symbolic dynamics, see "Symbolic Dynamics"
• For a mathematical approach to chaos theory, try "SCTPLS Basic Workshop."
• For some of those beautiful chaotic pictures, try "Chaos at Maryland."
• Finally, for a refreshingly non-math-dependent math book on chaos theory, try James Gleick's book Chaos: the Making of a New Science."