Free transportation cost inequalities via random matrix approximation

Fumio Hiai; Dénes Petz; Yoshimichi Ueda

doi:10.1007/s00440-004-0351-1

Free transportation cost inequalities via random matrix approximation

Fumio Hiai, Dénes Petz, Yoshimichi Ueda

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

By means of random matrix approximation procedure, we re-prove Biane and Voiculescu's free analog of Talagrand's transportation cost inequality for measures on R in a more general setup. Furthermore, we prove the free transportation cost inequality for measures on T as well by extending the method to special unitary random matrices.

Original language	English
Pages (from-to)	199-221
Number of pages	23
Journal	Probability Theory and Related Fields
Volume	130
Issue number	2
DOIs	https://doi.org/10.1007/s00440-004-0351-1
Publication status	Published - Oct 1 2004

All Science Journal Classification (ASJC) codes

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1007/s00440-004-0351-1

Cite this

@article{31e98e06420d499ca71cf74f6616240b,

title = "Free transportation cost inequalities via random matrix approximation",

abstract = "By means of random matrix approximation procedure, we re-prove Biane and Voiculescu's free analog of Talagrand's transportation cost inequality for measures on R in a more general setup. Furthermore, we prove the free transportation cost inequality for measures on T as well by extending the method to special unitary random matrices.",

author = "Fumio Hiai and D{\'e}nes Petz and Yoshimichi Ueda",

year = "2004",

month = oct,

day = "1",

doi = "10.1007/s00440-004-0351-1",

language = "English",

volume = "130",

pages = "199--221",

journal = "Probability Theory and Related Fields",

issn = "0178-8051",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Free transportation cost inequalities via random matrix approximation

AU - Hiai, Fumio

AU - Petz, Dénes

AU - Ueda, Yoshimichi

PY - 2004/10/1

Y1 - 2004/10/1

N2 - By means of random matrix approximation procedure, we re-prove Biane and Voiculescu's free analog of Talagrand's transportation cost inequality for measures on R in a more general setup. Furthermore, we prove the free transportation cost inequality for measures on T as well by extending the method to special unitary random matrices.

AB - By means of random matrix approximation procedure, we re-prove Biane and Voiculescu's free analog of Talagrand's transportation cost inequality for measures on R in a more general setup. Furthermore, we prove the free transportation cost inequality for measures on T as well by extending the method to special unitary random matrices.

UR - http://www.scopus.com/inward/record.url?scp=5644231165&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=5644231165&partnerID=8YFLogxK

U2 - 10.1007/s00440-004-0351-1

DO - 10.1007/s00440-004-0351-1

M3 - Article

AN - SCOPUS:5644231165

SN - 0178-8051

VL - 130

SP - 199

EP - 221

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

IS - 2

ER -

Free transportation cost inequalities via random matrix approximation

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this