We examine the itinerary of 0 ∈ S1 = R/Z under the rotation by α ∈ R\Q. The motivating question is: if we are given only the itinerary of 0 relative to I ⊂ S1 , a finite un...
Global Positioning System (GPS) Technology allows precise determination of location, velocity, direction, and time. The price of GPS receivers is falling rapidly and the applicatio...
We characterize all limit laws of the quicksort type random variables defined recursively by Xn d = XIn + X n-1-In + Tn when the "toll function" Tn varies and satisfies ...