30 citations · 416 across the 73 of their papers we have counts for
74 papers
Distance preservers for Lobachevsky space
Alexander Belton, Dominique Guillot, Apoorva Khare +1
We obtain a complete description of the class of entrywise preservers of Lorentz-Gram matrices. This resolves, for the case of constant negative curvature, the classification of en…
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…
Recovering affine-linearity of functions from their restrictions to affine lines
Apoorva Khare, Akaki Tikaradze
Motivated by recent results of Tao-Ziegler [Discrete Anal. 2016] and Greenfeld-Tao (2022 preprint) on concatenating affine-linear functions along subgroups of an abelian group, we…