Paving property for real stable polynomials and strongly Rayleigh processes
Paving property for real stable polynomials and strongly Rayleigh processes
One of the equivalent formulations of the Kadison–Singer problem which was resolved in 2013 by Marcus, Spielman and Srivastava, is the “paving conjecture”. In this paper, we first extend this result to real stable polynomials. We prove that for every multi-affine real stable polynomial satisfying a simple condition, it is …