Abstract
We prove a version of Talagrand’s concentration inequality for subordinated sub-Laplacians on a compact Riemannian manifold using tools from noncommutative geometry. As an application, motivated by quantum information theory, we show that on a finite-dimensional matrix algebra the set of self-adjoint generators satisfying a tensor stable modified logarithmic Sobolev inequality is dense.
Original language | English (US) |
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Pages (from-to) | 3409-3478 |
Number of pages | 70 |
Journal | Annales Henri Poincare |
Volume | 21 |
Issue number | 11 |
Early online date | Sep 25 2020 |
DOIs | |
State | Published - Nov 1 2020 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Nuclear and High Energy Physics
- Mathematical Physics