Free transport for convex potentials
From MaRDI portal
Publication:3380358
DOI10.53733/102zbMath1484.46069arXiv1701.00132OpenAlexW3199671250MaRDI QIDQ3380358
Alice Guionnet, Yoann Dabrowski, Dimitri Shlyakhtenko
Publication date: 28 September 2021
Published in: New Zealand Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.00132
Free probability and free operator algebras (46L54) Operator spaces and completely bounded maps (46L07) Applications of selfadjoint operator algebras to physics (46L60) Quantizations, deformations for selfadjoint operator algebras (46L65)
Related Items
Free analysis and random matrices ⋮ Itô's formula for noncommutative \(C^2\) functions of free Itô processes ⋮ Tracial smooth functions of non-commuting variables and the free Wasserstein manifold ⋮ Free transport for interpolated free group factors ⋮ Rare events in random matrix theory ⋮ Vanishing first cohomology and strong 1-boundedness for von Neumann algebras ⋮ Duality for optimal couplings in free probability
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Free monotone transport
- A free stochastic partial differential equation
- Free probability and random matrices
- An example of a generalized Brownian motion
- Free diffusions and matrix models with strictly convex interaction
- Lower estimates on microstates free entropy dimension
- A note about proving non-\(\Gamma \) under a finite non-microstates free Fisher information assumption
- The analogues of entropy and of Fisher's information measure in free probability theory. V: Noncommutative Hilbert transforms
- Tensor products of operator spaces
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Factorization of completely bounded bilinear operators and injectivity
- Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
- A new approach to Hilbert \(C^*\)-modules
- Duality and normal parts of operator modules
- A characterization of reciprocal processes via an integration by parts formula on the path space
- The Haagerup norm on the tensor product of operator modules
- A planar calculus for infinite index subfactors
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups
- Generalized \(q\)-Gaussian von Neumann algebras with coefficients. I. Relative strong solidity
- Free convolution operators and free Hall transform
- On a class of type \(\text{II}_1\) factors with Betti numbers invariants
- An elementary approach to free entropy theory for convex potentials
- A note on cyclic gradients
- Unbounded derivations, free dilations, and indecomposability results for II$_1$ factors
- Random matrices, free probability, planar algebras and subfactors
- Free Random Variables
- The Dual of the Haagerup Tensor Product
- On the Product of Semi-Groups of Operators
- An Introduction to Random Matrices
- Polar factorization and monotone rearrangement of vector‐valued functions
- The “maximal” tensor product of operator spaces
- Strong Operator Modules and the Haagerup Tensor Product
- Conditional Expectation, Entropy, and Transport for Convex Gibbs Laws in Free Probability
- Cartan subalgebras of amalgamated free product II$_1$ factors
- Feynman diagrams and Wick products associated withq-Fock space
- Free diffusions, free entropy and free Fisher information