pith. machine review for the scientific record. sign in

arxiv: math/0006044 · v1 · submitted 2000-06-06 · 🧮 math.OA

Recognition: unknown

A Free Probability Analogue of the Wasserstein Metric on the Trace-State Space

Philippe Biane , Dan Voiculescu
Authors on Pith no claims yet
classification 🧮 math.OA
keywords freewassersteinanaloguemetricprobabilityclassicaldefinedimension
0
0 comments X
read the original abstract

We define a free probability analogue of the Wasserstein metric, which extends the classical one. In dimension one, we prove that the square of the Wasserstein distance to the semi-circle distribution is majorized by a modified free entropy quantity.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Characters of surface groups

    math.GR 2026-05 unverdicted novelty 8.0

    The trace space of any surface group is the Poulsen simplex.