Tropical multiplier sequences
Algebraic Geometry
2015-05-26 v1
Abstract
We prove that the diagonal operator defined by a positive sequence preserves tropical and central indices if and only if the sequence is log-concave. In particular we obtain an elementary proof of that such an operator preserves the set of sign-independently real-rooted polynomials if and only if the sequence is log-concave.
Cite
@article{arxiv.1505.06313,
title = {Tropical multiplier sequences},
author = {Jens Forsgård},
journal= {arXiv preprint arXiv:1505.06313},
year = {2015}
}