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Asymptotic properties of eigenvalues of a class of Markov chains induced by direct product branching processes
\S 1. Introduction.Karlin and McGregor introduced in [9] a class of finite state Markov chains induced by direct product branching processes (see also [8] and [10]).The class includes many Markov chains of interest in population genetics.In the case of absence of selection force (in genetics language), they made a deep …