154 citations · 1.3k across the 48 of their papers we have counts for
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Log-concavity in one-dimensional Coulomb gases and related ensembles
Jnaneshwar Baslingker, Manjunath Krishnapur, Mokshay Madiman
We prove log-concavity of the lengths of the top rows of Young diagrams under Poissonized Plancherel measure. This is the first known positive result towards a 2008 conjecture of C…
The entropic doubling constant and robustness of Gaussian codebooks for additive-noise channels
Lampros Gavalakis, Ioannis Kontoyiannis, Mokshay Madiman
Entropy comparison inequalities are obtained for the differential entropy of the sum of two independent random vectors , when one is replaced by a Gaussian. For ident…
Weighted Brunn-Minkowski Theory II: Inequalities for Mixed Measures and Applications
Matthieu Fradelizi, Dylan Langharst, Mokshay Madiman +1
In "Weighted Brunn-Minkowski Theory I", the prequel to this work, we discussed how recent developments on concavity of measures have laid the foundations of a nascent weighted Brun…