Tracial smooth functions of non-commuting variables and the free Wasserstein manifold

Abstract

Using new spaces of tracial non-commutative smooth functions, we formulate a free probabilistic analog of the Wasserstein manifold on $\mathbb{R}^d$ (the formal Riemannian manifold of smooth probability densities on $\mathbb{R}^d$), and we use it to s

Locations

• Dissertationes Mathematicae - View - PDF
• arXiv (Cornell University) - View - PDF