This workshop, sponsored by AIM and the NSF, will be devoted to bringing together researchers from different communities (including probability, functional analysis, information and estimation theory), who study and use forms of Shannon's Entropy Power Inequality (EPI). This result and its many extensions and generalizations have been proved using a number of different approaches, including the de Bruijn identity, optimal transport and minimum mean square estimation (MMSE). Although the EPI is interesting in its own right, it has further significant impact by connecting several important and active research areas, including functional inequalities on Riemannian manifolds, inequalities in convex geometry, entropic versions of results in additive combinatorics and bounding the capacity of communication channels.
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