The one dimensional free Poincaré inequality
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Publication:2847124
DOI10.1090/S0002-9947-2013-05830-8zbMath1281.46056arXiv1105.2031OpenAlexW2017995634MaRDI QIDQ2847124
Publication date: 4 September 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.2031
Inequalities; stochastic orderings (60E15) Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
Related Items (3)
Free functional inequalities on the circle ⋮ On Rayleigh-type formulas for a non-local boundary value problem associated with an integral operator commuting with the Laplacian ⋮ Quantitative normal approximation of linear statistics of \(\beta \)-ensembles
Cites Work
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- A (one-dimensional) free Brunn-Minkowski inequality
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- Transportation-cost inequality on path spaces with uniform distance
- Logarithmic Sobolev Inequalities
- Fluctations of the empirical law of large random matrices
- A free probability analogue of the Wasserstein metric on the trace-state space
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