{"id":"openai-math/Integral-and-fractional-expectation-thresholds-are-equivalent","pdf":"https://github.com/openai/math/blob/main/preprints/Integral-and-fractional-expectation-thresholds-are-equivalent-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Integral-and-fractional-expectation-thresholds-are-equivalent-September-23-2026","tags":["combinatorics","probability","thresholds"],"score":0,"title":"Integral and fractional expectation thresholds are equivalent","domain":"Combinatorics","family":"175","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.CO","summary":"We prove Talagrand's conjecture that integral and fractional expectation thresholds are within a universal constant factor, with the same covering budget.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":true,"family_title":"Talagrand’s expectation thresholds, discrete convexity, and graph decompositions"}