Note on a conjecture of Talagrand: expectation thresholds vs. fractional expectation thresholds
Combinatorics
2024-12-03 v1 Probability
Abstract
We show that a restricted version of a conjecture of M. Talagrand on the relation between "expectation thresholds" and "fractional expectation thresholds" follows easily from a strong version of a second conjecture of Talagrand, on "selector processes." The selector process conjecture was proved by Park and Pham, and the quantitative strengthening used here is due to Bednorz, Martynek, and Meller.
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Cite
@article{arxiv.2412.00917,
title = {Note on a conjecture of Talagrand: expectation thresholds vs. fractional expectation thresholds},
author = {Quentin Dubroff and Jeff Kahn and Jinyoung Park},
journal= {arXiv preprint arXiv:2412.00917},
year = {2024}
}
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3 pages