Local Functional Inequalities in One Dimensional Free Probability
classification
🧮 math.PR
math.FA
keywords
freedimensionalinequalitieslocalprobabilitytransportationapproachcompact
read the original abstract
In this note we introduce and prove local and potential independent transportation, Log-Sobolev and HWI inequalities in one dimensional free probability on compact intervals which are sharp. We recover using this approach a free transportation inequality on the whole real line which was put forward recently by M. Maida and E. Maurel-Segala.
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.