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Conditional Expectation, Entropy, and Transport for Convex Gibbs Laws in Free Probability

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Publication:5068520
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DOI10.1093/imrn/rnaa181zbMath1496.46067arXiv1906.10051OpenAlexW3048162826MaRDI QIDQ5068520

David Jekel

Publication date: 6 April 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10051


zbMATH Keywords

random matrixconditional expectationsfree entropyTalagrand inequalitynoncommutative random variablesconditional transport


Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)


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An elementary approach to free entropy theory for convex potentials ⋮ Tracial smooth functions of non-commuting variables and the free Wasserstein manifold ⋮ \(\mathrm{C}^\ast\)-algebras. Abstracts from the workshop held August 7--13, 2022 ⋮ Fourier Series for Fractals in Two Dimensions ⋮ Free transport for convex potentials ⋮ Duality for optimal couplings in free probability




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