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Yagli, Semih; Dytso, Alex; Poor, H. Vincent; Shamai Shitz, Shlomo (, 2019 IEEE Wireless Communications and Networking Conference Workshop)This paper introduces totally positive kernels and Pólya type distributions to information theory. In particular, it is shown that the variational diminishing property of Pólya type distributions, which is captured by the Oscillation Theorem, can be used to characterize the structure of capacity-achieving distributions for a large class of channels.more » « less
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