A lower bound for the coefficients of denormalized Lorentzian Laurent series

Maryam Mohammadi Yekta, University of Waterloo

We introduce and study the class of denormalized Lorentzian (DL) Laurent series. We prove lower bounds for the coefficients of such Laurent series using Gurvits’ capacity function. As a result, we are able to obtain an already known capacity bounds for the number of contingency tables, a new lower bound for the number of integral flows of any acyclic directed graph, and a lower bound for the dimension of weight spaces of parabolic Verma modules.