Scaling limits for the threshold window: When does a monotone Boolean function flip its outcome?

Daniel Ahlberg, Jeffrey E. Steif, Gábor Pete

Consider a monotone Boolean function $f:\{0,1{\}}^n\to \{0,1\}$ and the canonical monotone coupling $\{{\eta }_p:p\in [0,1]\}$ of an element in $\{0,1{\}}^n$ chosen according to product measur…