In this paper, we introduce the notion of completely mixed monotonicity of a function of several variables, very few of which have appeared. We give a necessary and sufficient condition for a function ...

Annals of Mathematics, Second Series, Vol. 176, No. 3 (November, 2012), pp. 1783-1826 (44 pages) We prove generalizations of Löwner's results on matrix monotone functions to several variables. We give ...

A sequence of acoustic events is perceived either as one continuous sound or as a stream of temporally discrete sounds (acoustic flutter), depending on the rate at which the acoustic events repeat.