30 citations · 416 across the 73 of their papers we have counts for
6 papers · 1 filter
The lattice of nil-Hecke algebras over real and complex reflection groups
Sutanay Bhattacharya, Apoorva Khare
Associated to every complex reflection group, we construct a lattice of quotients of its braid monoid-algebra, which we term nil-Hecke algebras, and which are obtained by killing a…
Preservers of totally positive kernels and Polya frequency functions
Alexander Belton, Dominique Guillot, Apoorva Khare +1
Fractional powers and polynomial maps preserving structured totally positive matrices, one-sided Polya frequency functions, or totally positive kernels are treated from a unifying…
The -norm of circulant matrices
Ludovick Bouthat, Apoorva Khare, Javad Mashreghi +1
In this note we study the induced -norm of circulant matrices , acting as operators on the Euclidean space . For circulant matrices whose entries ar…
Multivariate blowup-polynomials of graphs
Projesh Nath Choudhury, Apoorva Khare
In recent joint work (2021), we introduced a novel multivariate polynomial attached to every metric space - in particular, to every finite simple connected graph - and showed i…
The blowup-polynomial of a metric space: connections to stable polynomials, graphs and their distance spectra
Projesh Nath Choudhury, Apoorva Khare
To every finite metric space , including all connected unweighted graphs with the minimum edge-distance metric, we attach an invariant that we call its blowup-polynomial $p_X(\{…
Hirschman-Widder densities
Alexander Belton, Dominique Guillot, Apoorva Khare +1
Hirschman and Widder introduced a class of Pólya frequency functions given by linear combinations of one-sided exponential functions. The members of this class are probability dens…