Fix d ≥ 2, and let X be either Z or the points of a Poisson process in R of intensity 1. Given parameters r and p, join each pair of points of X within distance r independently with probability p. This is the simplest case of a ‘spread-out’ percolation model studied by Penrose [8], who showed that, as r → ∞, the average degree of the corresponding random graph at the percolation threshold tends...

Fix d ≥ 2, and let X be either Z or the points of a Poisson process in R of intensity 1. Given parameters r and p, join each pair of points of X within distance r independently with probability p. This is the simplest case of a ‘spread-out’ percolation model studied by Penrose [8], who showed that, as r →∞, the average degree of the corresponding random graph at the percolation threshold tends ...

the commitment to a hermaphrodite development, but is not part of the putative oscillator itself. Recent experiments suggest that at least part of the C. briggsae oscillator regulates germline factors other than Cb-TRA-1 [19], and similar (but unknown) TRA-1-independent germline sex regulators have long been implicated in C. elegans [20]. This indicates that we have much to learn about the patt...