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math.RA2026
The Type III realisation conjecture of Kirkland and Šmigoc
Brecht Verbeken, Vincent Ginis
Kirkland and Šmigoc constructed a family of stochastic matrices realising the Type III boundary polynomials in the Karpelevič region and conjectured that, conversely, every stochas…
math.RA2026
On the Spectral Region of n-Cycle Stochastic Matrices
Brecht Verbeken, Vincent Ginis
For every , we determine the union of the spectra of row-stochastic matrices supported on a directed -cycle with self-loops and strictly positive cycle edges. These matr…