Random Recursive Constructions: Asymptotic Geometric and Topological Properties
Random Recursive Constructions: Asymptotic Geometric and Topological Properties
We study some notions of "random recursive constructions" in Euclidean m-space which lead almost surely to a particular type of topological object; e.g., Cantor set, Sierpiriski curve or Menger curve.We demonstrate that associated with each such construction is a "universal" number a such that almost surely the random object has …