exigent 发表于 2025-3-30 09:00:12
The Extreme Points of the Probabilistic Capacities Cone ProblemLet . be the empty set and . be the reals. Let . = {1, 2, ..., n} and . be the set of subsets of .. Let . be the set of maps .: . → . satisfyingSTENT 发表于 2025-3-30 12:37:30
On Shifts of CascadesFor . ≥ 1 the cascade .has.The (.) = Δ shift of binco .. We show when Δ..(.)+Δ..(.) ≥ Δ.. (. + .), and when ≤. We compare Δ..(.) and Δ...(.). If . with . real, we show when ., and when ≤. This generalises results for (1, −1) known from Kruskal—Katona and Lovász For (1, −1), if . and . then . increases with .. Most results are best possible.