Thresholds, Expectation Thresholds and Cloning

• Published in: The Electronic journal of combinatorics Vol. 31; no. 4
• Main Authors: Przybyłowski, Tomasz, Riordan, Oliver
• Format: Journal Article
• Language: English
• Published: 27.12.2024

Let $p_\mathrm{c}$ and $q_\mathrm{c}$ be the threshold and the expectation threshold, respectively, of an increasing family $\mathcal{F}$ of subsets of a finite set $X$, and let $l$ be the size of a largest minimal element of $\mathcal{F}$. Recently, Park and Pham proved the Kahn–Kalai conjecture, w...