We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Strassen's Positivstellensatz is a powerful but little known result for preordered semirings satisfying a boundedness condition, and characterizes the relaxed preorder induced by all monotone homomorphisms to
We then present two applications to large deviation theory, giving results on the asymptotic comparison of one random walk relative to another. This gives a probabilistic interpretation for one moment-generating function to dominate another, in the context of bounded random variables.