2 papers
math.OA2026
Free Bakry--Émery Calculus
Ajay Chandra, Maria Gordina, Martin Peev
We prove a free probabilistic Bakry--Émery criterion for logarithmic Sobolev inequalities and hypercontractivity. Our approach relies on a noncommutative version of the carré du ch…
math.PR2025
Noncommutative Regularity Structures
Ajay Chandra, Martin Hairer, Martin Peev
We extend the theory of regularity structures [Hai14] to allow processes belonging to locally -convex topological algebras. This extension includes processes in the locally $C^{…