For each gene, we characterised the distribution of sequence convergence between pairs of branches in the species phylogeny following the approach described by Castoe et al. (2009) implemented in the ...

Only some bats and toothed whales rely on sophisticated echolocation, in which they emit sonar pulses and process returning echoes, to detect and track down small prey. Now, two new studies show that ...

SIAM Journal on Applied Mathematics, Vol. 40, No. 3 (Jun., 1981), pp. 528-541 (14 pages) A convenient and useful method for showing weak convergence, to a diffusion, of the interpolated solutions of a ...

Given a decreasing sequence {aⁿ} of nonnegative terms, we prove that there exist subsequences {nk } of {n} such that ∑k=1∞nk+1−nkank and ∑n=1∞an have the same convergence. In particular, ∑n=1∞an ...