Showing math.PRShow all
3 papers · 1 filter
math.PR2026
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 $…
math.PR2026
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…
math.PR2025
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…