Abstract:
The van der Corput and Kronecker sequences are some of the most well-distributed sequences of points in [0,1). In this talk, I will present some ways to use their regularity, first to tackle an old problem of Erdos and de Bruijn (1949) on lengths of consecutive segments, and then to build some interesting mathematical objects. In two dimensions, it is less clear what should be the most uniform point construction. One possible approach is to study the permutation induced by the relative position of the points. I will present some initial results on the Fibonacci lattice, before describing an open problem of interest for discrepancy theory.
Note: There is no pre-seminar. The main talk starts at 4:10.
Join Zoom Meeting: https://washington.zoom.us/j/
Meeting ID: 915 4733 5974