Entropy power inequalities

May 1 to May 5, 2017

at the

American Institute of Mathematics, San Jose, California

organized by

Andrew Barron, Dongning Guo, Oliver Johnson, Ioannis Kontoyiannis, and Mokshay Madiman

Original Announcement

This workshop 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.

The main topics for the workshop are to:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Papers arising from the workshop:

An entropy inequality for symmetric random variables
by  Jing Hao, and Varun Jog