Infinitely Divisible Matrices

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On the Schoenberg Transformations in Data Analysis: Theory and Illustrations (2010, background): “Moreover, the corresponding lowdimensional factorial reconstruction, retaining in (7) only the components α associated with the largest eigenvalues, express a maximum proportion of the total inertia relatively to a, namely”
Mills' ratio: Monotonicity patterns and functional inequalities (2008, background): “Horn [15] under the name infinitely divisible completely monotonic functions.”
On Euclidean distance matrices (2007, background): “Interesting examples can be found in Bhatia [3].”
Integral Representation of Some Functions Related to the Gamma Function (2004, background): “We characterize the class of logarithmically completely monotonic functions as the infinitely divisible completely monotonic functions studied by Horn in [14].”
Completely monotonic functions involving the gamma and q-gamma functions (2005, background): “Berg [8] points out that these functions are the same as those studied by Horn [20] under the name infinitely divisible completely monotonic functions.”
Bounds for the Ratio of Two Gamma Functions (2009, background): “It was also pointed out in [7] that logarithmically completely monotonic functions are the same as those studied by Horn [20] under the name “infinitely divisible completely monotonic functions”.”