A random composition of n appears when the points of a random closed set R ⊂ [0, 1] are used to separate into blocks n points sampled from the uniform distribution. We study the number of parts K n of this composition and other related functionals under the assumption that R = φ(S •) where (S t , t ≥ 0) is a subordinator and φ : [0, ∞] → [0, 1] is a… (More)