Seminar: Minimizing Measures for the Doubling Condition
Speaker: Fernando Benito Fernández de la Cigoña, Brown University
Abstract: A doubling minimizer is a measure whose doubling constant is the least possible among doubling measures on a given metric space. In this talk, we will discuss several results related to these objects, including conditions on a metric space for their existence and uniqueness. Euclidean space and the lattice Z^d will be our main examples, from which we will illustrate techniques to identify doubling minimizers and explain connections to random walks, superharmonic functions and metric dimension. This talk is based on joint work with Federico Cabrera-Linares, José Conde-Alonso and Pedro Tradacete.
Faculty Host: Brett Wick