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arXiv · 1511.03700

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

Pietro Paparella·Gregory K. Taylor
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Abstract

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.

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Pietro Paparella, Gregory K. Taylor. 2016-03-22. The Volume of the Trace-Nonnegative Polytope via the Irwin-Hall Distribution. https://arxiv.org/abs/1511.03700

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