Positive-definite functions, exponential sums and the greedy algorithm: a curious phenomenon

05/03/2021, 14:00 - 15:00 in online

Brown, Louis (Yale University)


Abstract:

We describe a curious dynamical system that results in sequences of real numbers in [0,1] with seemingly remarkable properties. We define the nth element of the sequence as a minimum of an energy function defined on the first n-1 elements. We explore the properties of such a greedy algorithm and state several open problems and conjectures.

Mathematical Sciences Research Centre