REVIEW 1 cited by
Methods of free probability
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
This is a joint introduction to classical and free probability, which are twin sisters. We first review the foundations of classical probability, notably with the main limiting theorems (CLT, CCLT, PLT, CPLT), and with a look into examples coming from Lie groups and random matrices. Then we present the foundations and main results of free probability, notably with free limiting theorems, and with a look into examples coming from quantum groups and random matrices. We discuss then a number of more advanced aspects, in relation with free geometry and with subfactor theory.
Forward citations
Cited by 1 Pith paper
-
Large Deviations in Switching Diffusion: from Free Cumulants to Dynamical Transitions
For switching diffusion, the long-time position cumulants equal free cumulants of the diffusion-coefficient distribution, and the rate function shows dynamical transitions depending on the tail of that distribution.
Discussion (0). Continue with ORCID to comment.