Free transportation cost inequalities via random matrix approximation

DOI10.1007/s00440-004-0351-1zbMath1060.46046OpenAlexW1988512494MaRDI QIDQ1884725

Yoshimichi Ueda, Fumio Hiai, Dénes Petz

Publication date: 5 November 2004

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-004-0351-1

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Large deviations (60F10) Noncommutative probability and statistics (46L53) Random matrices (algebraic aspects) (15B52) Measures of information, entropy (94A17)

Related Items (15)

Free functional inequalities on the circle ⋮ The free logarithmic Sobolev and the free transportation cost inequalities by time integrations ⋮ Concentration for Coulomb gases and Coulomb transport inequalities ⋮ Mass transportation proofs of free functional inequalities, and free Poincaré inequalities ⋮ Tracial smooth functions of non-commuting variables and the free Wasserstein manifold ⋮ Canonical moments and random spectral measures ⋮ Wasserstein distance between noncommutative dynamical systems ⋮ Notes on microstate free entropy of projections ⋮ Free transport-entropy inequalities for non-convex potentials and application to concentration for random matrices ⋮ Free Stein kernels and an improvement of the free logarithmic Sobolev inequality ⋮ A (one-dimensional) free Brunn-Minkowski inequality ⋮ Statistical mechanics of the periodic Benjamin–Ono equation ⋮ The one dimensional free Poincaré inequality ⋮ Free analog of pressure and its Legendre transform ⋮ Duality for optimal couplings in free probability

Cites Work

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