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- W1656437607 abstract "Volume estimates of metric balls in manifolds find diverse applications in communications and information theory. In this paper, we derive some new results for the volume of a metric ball in unitary group under Frobenius norm topological metric. Our first result is an integral representation of the exact volume, which involves a Toeplitz determinant of Bessel functions. The connection to matrix-variate hypergeometric functions leads from the exact finite size formula to an asymptotic one. The convergence of the obtained limiting formula is exceptionally fast due to the underlying mock-Gaussian behavior." @default.
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- W1656437607 date "2015-06-01" @default.
- W1656437607 modified "2023-09-27" @default.
- W1656437607 title "On the volume of a metric ball in unitary group" @default.
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- W1656437607 doi "https://doi.org/10.1109/isit.2015.7282443" @default.
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