30 citations · 416 across the 73 of their papers we have counts for
4 papers · 1 filter
Matrix positivity preservers in fixed dimension. II: positive definiteness and strict monotonicity of Schur function ratios
Alexander Belton, Dominique Guillot, Apoorva Khare +1
We continue the study of real polynomials acting entrywise on matrices of fixed dimension to preserve positive semidefiniteness, together with the related analysis of order propert…
Negativity-preserving transforms of tuples of symmetric matrices
Alexander Belton, Dominique Guillot, Apoorva Khare +1
Compared to the entrywise transforms which preserve positive semidefiniteness, those leaving invariant the inertia of symmetric matrices reveal a surprising rigidity. We first obta…
The additive-multiplicative distance matrix of a graph, and a novel third invariant
Projesh Nath Choudhury, Apoorva Khare
Graham showed with Pollak and Hoffman-Hosoya that for any directed graph with strong blocks , the determinant and cofactor-sum of the distance matri…
Probability inequalities for strongly left-invariant metric semigroups/monoids, including all Lie groups
Apoorva Khare
Recently, a general version of the Hoffmann-Jorgensen inequality was shown jointly with Rajaratnam [Ann. Probab. 2017], which (a) improved the result even for real-valued variables…