Basic Notions Seminar
All talks are from 1200-1300 in the Conference or Seminar room, unless otherwise specified.
Complexity from Simplicity: Dimensions, Fractals, and ChaosDarren CreutzUSNALocation: VirtualTime: 03:45 PMPicture a (equilateral) triangle. Choose a point at random inside the triangle. Now pick a corner of the triangle at random and move halfway from your point toward that corner. Repeat: pick a corner at random and move halfway to it. Repeat this indefinitely. Where can we end up? Can it be anywhere inside the triangle? (The answer may surprise you; it certainly got my attention). By a series of examples, I will present the sorts of simple systems that give rise to complicated behavior, leading us to conceptual questions about dimensionality, chaos, and the oft-mentioned but not always well-explained fractals. The talk will be *very* accessible, assuming minimal mathematical knowledge (e.g. if you know what complex numbers that would be good but not necessary).