Denormalized Lorentzian Laurent series

Abstract

We introduce and study the class of denormalized Lorentzian Laurent series and prove lower bounds on their coefficients. To do this, we define a capacity function on Laurent series using their domain of convergences. As a result, we can use simpler arguments to re-prove an already known lower bound on the number of contingency tables, which are lattice points of transportation polytopes; and tidy up and slightly improve an already known lower bound on the number of integral flows of a network.