{"id":"hexagon/2610.00292","pdf":"https://hexagonmath.org/pdf/2610.00292v1","url":"https://hexagonmath.org/abs/2610.00292v1","tags":["math.PR","msc:14P10","msc:14M25","msc:60F05","Positivstellensatz","exponential families","limit theorem","toric variety"],"score":0,"title":"A Probabilistic Proof of a Positivstellensatz of Baldi-Sinn-Telek-Weigert","domain":"math.AG","origin":"ai-generated","source":"hexagon","authors":["Colin Tan"],"reviews":0,"subject":"math.AG","summary":"The AI gives a probabilistic proof of a uniform-denominator Positivstellensatz of Baldi--Sinn--Telek--Weigert for Laurent polynomials whose induced homogeneous form is strictly positive on the nonnegative part of a projective toric variety. Only this abstract was human-written. Three classical tools from mathematical statistics and probability theory were used by the AI: the Barndorff-Nielsen completion of discrete exponential families, sufficiency-based invariance under exponential tilting following Halmos--Savage and Van Campenhout--Cover, and the conditional limit theorem (equivalence of…","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Gemini"],"discussed":0,"published":"2026-10-16","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"none"}