Algebraic aspects of the polynomial Littlewood-Offord problem

Zhihan Jin, Matthew Kwan, Lisa Sauermann +1

Consider a degree-$d$ polynomial $f({\xi }_1,\dots ,{\xi }_n)$ of independent Rademacher random variables ${\xi }_1,\dots ,{\xi }_n$. To what extent can $f({\xi }_1,\dots ,{\xi }_n)$ concentrate on a single point?…