Ehrhart Limits
arXiv:2211.17129
Abstract
We introduce the definition of an Ehrhart limit, that is, a formal power series with integer coefficients that is the limit in the ring of formal power series of a sequence of Ehrhart -polynomials. We identify a variety of examples of sequences of polytopes that yield Ehrhart limits, with a focus on reflexive polytopes and simplices.
11 pages, comments welcome; version 2: added closure of Ehrhart limits under multiplication via the join operation