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Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems

Journal of statistical physics, 2020-01, Vol.178 (2), p.319-378

2020

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Recovery map stability for the data processing inequality

Journal of physics. A, Mathematical and theoretical, 2020-01, Vol.53 (3), p.35204

2020

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Recovery and the Data Processing Inequality for Quasi-Entropies

IEEE transactions on information theory, 2018-10, Vol.64 (10), p.6929-6938

2018

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Complete positivity and self-adjointness

Linear algebra and its applications, 2021-02, Vol.611, p.389-439

2021

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A monotonicity version of a concavity theorem of Lieb

Archiv der Mathematik, 2022-11, Vol.119 (5), p.525-529

Carlen, Eric A.

2022

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An Analog of the 2-Wasserstein Metric in Non-Commutative Probability Under Which the Fermionic Fokker–Planck Equation is Gradient Flow for the Entropy

Communications in mathematical physics, 2014-11, Vol.331 (3), p.887-926

2014

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Correction to: Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems

Journal of statistical physics, 2020-12, Vol.181 (6), p.2432-2433

2020

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On an inequality of Lin, Kim and Hsieh and strong subadditivity

Letters in mathematical physics, 2024-09, Vol.114 (5), Article 109

2024

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Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller–Segel equation

Duke mathematical journal, 2013-02, Vol.162 (3), p.579-625

2013

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A trace inequality of Ando, Hiai, and Okubo and a monotonicity property of the Golden–Thompson inequality

Journal of mathematical physics, 2022-06, Vol.63 (6)

2022

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Inequalities for quantum divergences and the Audenaert-Datta conjecture

Journal of physics. A, Mathematical and theoretical, 2018-11, Vol.51 (48), p.483001

2018

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On multi-dimensional hypocoercive BGK models

Kinetic & related models, 2018, Vol.11 (4), p.953-1009

2018

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On the Convolution Inequality f ≥ f ⋆ f

International mathematics research notices, 2021-12, Vol.2021 (24), p.18604-18612

2021

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A remainder term for Hölder’s inequality for matrices and quantum entropy inequalities

Archiv der Mathematik, 2017-10, Vol.109 (4), p.365-371

Carlen, Eric A.

2017

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Remainder terms for some quantum entropy inequalities

Journal of mathematical physics, 2014-04, Vol.55 (4)

2014

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On a quantum entropy power inequality of Audenaert, Datta, and Ozols

Journal of mathematical physics, 2016-06, Vol.57 (6)

2016

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Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance

Journal of functional analysis, 2017-09, Vol.273 (5), p.1810-1869

2017

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Hardy-Littlewood-Sobolev inequalities via fast diffusion flows

Proceedings of the National Academy of Sciences - PNAS, 2010-11, Vol.107 (46), p.19696-19701

2010

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Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model

Journal of functional analysis, 2012-03, Vol.262 (5), p.2142-2230

2012

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Quantitative bounds on the rate of approach to equilibrium for some one-dimensional stochastic nonlinear Schrödinger equations

Nonlinearity, 2019-04, Vol.32 (4), p.1352-1374

2019

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Classical and Quantum Mechanical Models of Many-Particle Systems

Oberwolfach reports, 2018-12, Vol.14 (4), p.3345-3425

2018

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Inequalities for Lp-Norms that Sharpen the Triangle Inequality and Complement Hanner’s Inequality

The Journal of geometric analysis, 2021, Vol.31 (4), p.4051-4073

2021

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Localization, smoothness, and convergence to equilibrium for a thin film equation

Discrete and continuous dynamical systems. Series A, 2014-11, Vol.34 (11), p.4537-4553

2014

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On an extension problem for density matrices

Journal of mathematical physics, 2013-06, Vol.54 (6), p.1

2013

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Some operator and trace function convexity theorems

Linear algebra and its applications, 2016-02, Vol.490, p.174-185

2016

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Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems

Recovery map stability for the data processing inequality

Recovery and the Data Processing Inequality for Quasi-Entropies

Complete positivity and self-adjointness

A monotonicity version of a concavity theorem of Lieb

An Analog of the 2-Wasserstein Metric in Non-Commutative Probability Under Which the Fermionic Fokker–Planck Equation is Gradient Flow for the Entropy

Correction to: Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems

On an inequality of Lin, Kim and Hsieh and strong subadditivity

Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller–Segel equation

A trace inequality of Ando, Hiai, and Okubo and a monotonicity property of the Golden–Thompson inequality

Inequalities for quantum divergences and the Audenaert-Datta conjecture

On multi-dimensional hypocoercive BGK models

On the Convolution Inequality f ≥ f ⋆ f

A remainder term for Hölder’s inequality for matrices and quantum entropy inequalities

Remainder terms for some quantum entropy inequalities

On a quantum entropy power inequality of Audenaert, Datta, and Ozols

Gradient flow and entropy inequalities for quantum Markov semigroups with detailed balance

Hardy-Littlewood-Sobolev inequalities via fast diffusion flows

Functional inequalities, thick tails and asymptotics for the critical mass Patlak–Keller–Segel model

Quantitative bounds on the rate of approach to equilibrium for some one-dimensional stochastic nonlinear Schrödinger equations

Classical and Quantum Mechanical Models of Many-Particle Systems

Inequalities for Lp-Norms that Sharpen the Triangle Inequality and Complement Hanner’s Inequality

Localization, smoothness, and convergence to equilibrium for a thin film equation

On an extension problem for density matrices

Some operator and trace function convexity theorems

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