19 citations · 73 across the 18 of their papers we have counts for
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Total-positivity preservers
Alexander Belton, Dominique Guillot, Apoorva Khare +1
We prove that the only entrywise transforms of rectangular matrices which preserve total positivity or total non-negativity are either constant or linear. This follows from an exte…
Simultaneous kernels of matrix Hadamard powers
Alexander Belton, Dominique Guillot, Apoorva Khare +1
In previous work [Adv. Math. 298, pp. 325-368, 2016], the structure of the simultaneous kernels of Hadamard powers of any positive semidefinite matrix were described. Key ingredien…
Quasifree stochastic cocycles and quantum random walks
Alexander C. R. Belton, Michal Gnacik, J. Martin Lindsay +1
The theory of quasifree quantum stochastic calculus for infinite-dimensional noise is developed within the framework of Hudson-Parthasarathy quantum stochastic calculus. The questi…