3 papers
math.CO2025
Unimodality for Radon partitions of random vectors
Swee Hong Chan, Gil Kalai, Bhargav Narayanan +2
Consider the (almost surely) unique Radon partition of a set of random Gaussian vectors in ; choose one of the two parts of this partition uniformly at random,…
math.CO2025
Elementary symmetric polynomials under the fixed point measure
Ayush Khaitan, Ishan Mata, Bhargav Narayanan
We identify a surprising inequality satisfied by elementary symmetric polynomials under the action of the fixed point measure of a random permutation. Concretely, for any collectio…
math.PR2024
The Reverse Littlewood--Offord problem of Erdős
Xiaoyu He, Tomas Juskevicius, Bhargav Narayanan +1
Let be a sequence of independent Rademacher random variables. We prove that there is a constant such that for any unit vectors $v_1,\ldots,v_n\in \mathbb…