4. The sensitivity theorem
The sensitivity conjecture was resolved in [MR4024566]. We look for more proofs and extensions.-
The sensitivity theorem
Problem 4.1.
The sensitivity theorem says that for all n\ge 1 and all Boolean function f:\{-1,1\}^n\to \{-1,1\}, we have \begin{equation*} s(f)\ge \sqrt{\deg (f)}. \end{equation*}More proofs of this result? Is it possible to formulate a reasonable problem for real-valued functions f:\{-1,1\}^n\to \mathbb{R}?
Cite this as: AimPL: Analysis on the hypercube with applications to quantum computing, available at http://aimpl.org/hypercubequantum.