2 papers
math.PR2026
Functional inequalities for Boolean entropy
Guillaume Cébron, Kewei Pan
Building on the recently introduced notion of Boolean entropy, we define the corresponding Boolean Fisher information via a de Bruijn identity. We study the monotonicity of this Fi…
math.PR2025
An entropy for Boolean independence
Kewei Pan
In this article, we aim to define a Boolean entropy notion parallel to the framework of free entropy proposed by Voiculescu. Motivated by the work of Lenczewski and the work of Cé…