Harmonicity and invariance on slices of the Boolean cube

© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. In a recent work with Kindler and Wimmer we proved an invariance principle for the slice for low-influence, low-degree harmonic multilinear polynomials (a polynomial in x1, … , xn is harmonic if it is annihilated by ∑i=1n∂∂xi). Here we p...

Full description

Bibliographic Details
Main Authors: Filmus, Yuval, Mossel, Elchanan
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Science and Business Media LLC 2022
Online Access:https://hdl.handle.net/1721.1/135873.2