Scalar Poincaré implies matrix Poincaré

DOI10.1214/21-ECP371zbMath1480.60044arXiv2006.09567OpenAlexW3036135143MaRDI QIDQ2064865

Nikhil Srivastava, Ankit Garg, Tarun Kathuria

Publication date: 6 January 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09567

zbMATH Keywords

Poincaré inequalitymatrix concentration

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Random matrices (probabilistic aspects) (60B20) Applications of functional analysis in probability theory and statistics (46N30)

Related Items (2)

Unnamed Item ⋮ Nonlinear matrix concentration via semigroup methods

Cites Work

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• Matrix Poincaré inequalities and concentration
• Lorentzian polynomials
• A Topological Application of the Isoperimetric Inequality
• Analysis and Geometry of Markov Diffusion Operators
• Log-concave polynomials II: high-dimensional walks and an FPRAS for counting bases of a matroid
• Characterizations of matrix and operator-valued Φ-entropies, and operator Efron–Stein inequalities
• Exponential decay of matrix Φ-entropies on Markov semigroups with applications to dynamical evolutions of quantum ensembles
• Matrix Poincaré, Φ-Sobolev inequalities, and quantum ensembles

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