Down‐set thresholds
نویسندگان
چکیده
We elucidate the relationship between threshold and expectation-threshold of a down-set. Qualitatively, our main result demonstrates that there exist down-sets with polynomial gaps their thresholds expectation-thresholds; in particular, logarithmic gap predictions Kahn–Kalai Talagrand (recently proved by Park–Pham Frankston–Kahn–Narayanan–Park) about up-sets do not apply to down-sets. Quantitatively, we show any collection
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ژورنال
عنوان ژورنال: Random Structures and Algorithms
سال: 2023
ISSN: ['1042-9832', '1098-2418']
DOI: https://doi.org/10.1002/rsa.21148