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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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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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Remainder terms for some quantum entropy inequalities

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

2014

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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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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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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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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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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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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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Some operator and trace function convexity theorems

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

2016

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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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Stability Estimates for the Lowest Eigenvalue of a Schrödinger Operator

Geometric and functional analysis, 2014-02, Vol.24 (1), p.63-84

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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From Particle Systems to Partial Differential Equations: PSPDE X, Braga, Portugal, June 2022

2024th edition, 2024

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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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Subadditivity of The Entropy and its Relation to Brascamp–Lieb Type Inequalities

Geometric and functional analysis, 2009-09, Vol.19 (2), p.373-405

2009

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Some trace inequalities for exponential and logarithmic functions

Bulletin of mathematical sciences, 2019-08, Vol.9 (2), p.1950008-1950008-39

2019

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

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

Remainder terms for some quantum entropy inequalities

Recovery map stability for the data processing inequality

Hardy-Littlewood-Sobolev inequalities via fast diffusion flows

Recovery and the Data Processing Inequality for Quasi-Entropies

Complete positivity and self-adjointness

A monotonicity version of a concavity theorem of Lieb

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

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

On multi-dimensional hypocoercive BGK models

On the Convolution Inequality f ≥ f ⋆ f

Some operator and trace function convexity theorems

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

Stability Estimates for the Lowest Eigenvalue of a Schrödinger Operator

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

From Particle Systems to Partial Differential Equations: PSPDE X, Braga, Portugal, June 2022

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

Subadditivity of The Entropy and its Relation to Brascamp–Lieb Type Inequalities

Some trace inequalities for exponential and logarithmic functions

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

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