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Continuity of mutual information and the entropy-power inequality

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Consider an additive channel of information transmission with a continuous noise. The talk will focus on sufficient conditions for continuity of the input-output mutual information for large and small signal-to-noise ratios. This result leads to Shannon’s entropy-power inequality which is a far-reaching generalisation of Minkowski’s inequality from the classical analysis.

This talk is part of the Probability series.

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