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The Volume of the Trace-Nonnegative Polytope via the Irwin-Hall Distribution

In this work, we find an explicit expression for the volume of the trace nonnegative polytope via a generalization of the Irwin-Hall distribution. This volume is an upper bound for the volume of all projected, normalized realizable spectra. We provide ancillary results on realizable trace-zero spectra and pose several problems suitable for further inquiry.

preprint2016arXivOpen access
Pietro PaparellaGregory K. Taylor
math.COmath.MGmath.PR
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Pietro PaparellaGregory K. Taylor

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