Daley, DarylLast, Gunter2015-12-130001-8678http://hdl.handle.net/1885/85205We consider a hard-sphere model in ℝd generated by a stationary point process N and the lilypond growth protocol: at time 0, every point of N starts growing with unit speed in all directions to form a system of balls in which any particular ball ceasesKeywords: Algorithms; Finite element method; Integral equations; Mathematical models; Poisson distribution; Probability distributions; Set theory; Descending chain; Hard-sphere model; Point process; Stationarity; Random processes Descending chain; Hard-sphere model; Lilypond model; Palm probability; Percolation; Point process; StationarityDescending chains, the lilypond model, and mutual-nearest-neighbour matching200510.1239/aap/11274837382015-12-12