7 papers
Integral inequalities for -convolutions of -concave functions
Mokshay Madiman, Auttawich Manui, Bartłomiej Zawalski +1
Classical sumset inequalities originating in additive combinatorics admit geometric analogues for convex bodies in finite-dimensional real vector spaces, as recently developed by F…
Entropic Symmetrization Resistance
Mokshay Madiman, Emma Pollard
An asymmetric random variable in the reals is said to be variance symmetrization resistant if every independent random variable in the reals that produces a symmetric sum $…
Metric complexity is a Bryant--Tupper diversity
Gautam Aishwarya, Dongbin Li, Mokshay Madiman +1
The metric complexity (sometimes called Leinster--Cobbold maximum diversity) of a compact metric space is a recently introduced isometry-invariant of compact metric spaces which ge…
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…
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 stability of log-supermodularity under convolution
Mokshay Madiman, James Melbourne, Cyril Roberto
We study the behavior of log-supermodular functions under convolution. In particular we show that log-concave product densities preserve log-supermodularity, confirming in the spec…