2. Forward and backward translation steps in each target country: Forward translation: Two qualified translators, native speakers of the target language, proficient in English and living in the target country, produced a translation of the original measure into the target language without mutual consultation. The consultant reviewed the two versions, compared them with the original, and establi...

We study the genealogical structure of a population with stochastically fluctuating size. If such fluctuations, after suitable rescaling, can be approximated by a nice continuous-time process, we prove weak convergence in the Skorokhod topology of the scaled ancestral process to a stochastic time change of Kingman’s coalescent, the time change being given by an additive functional of the limiti...

We consider a fast evolutionary dynamic process on finite stopping games, where each player at each node has at most one move to continue the game. A state is evolutionarily stable if its long-run relative frequency of occurrence is bounded away from zero as the mutation rate decreases to zero. The fast dynamic process allows each individual in each population to change its strategy at every st...