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Exponential decay of Rényi divergence under Fokker-Planck equations (Q2328698)

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Language	Label	Description	Also known as
English	Exponential decay of Rényi divergence under Fokker-Planck equations	scientific article

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scholarly article

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Exponential decay of Rényi divergence under Fokker-Planck equations (English)

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Journal of Statistical Physics

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publication date

10 October 2019

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full work available at URL

https://arxiv.org/abs/1805.06554

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zbMATH Keywords

Rényi divergence

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Fokker-Planck equation

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exponential convergence

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gradient flow

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MaRDI profile type

MaRDI publication profile

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ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS

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Robust Bounds on Risk-Sensitive Functionals via Rényi Divergence

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<i>α</i>-<i>z</i>-Rényi relative entropies

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Analysis and Geometry of Markov Diffusion Operators

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A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

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Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance

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Inequalities for quantum divergences and the Audenaert–Datta conjecture

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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

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

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Rényi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations

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A new class of transport distances between measures

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Sensitivity analysis for rare events based on Rényi divergence

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Gradient flow structures for discrete porous medium equations

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Monotonicity of a relative Rényi entropy

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On Pinsker's and Vajda's Type Inequalities for Csiszár's $f$-Divergences

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Hypercontractivity and logarithmic Sobolev inequalities for the Clifford- Dirichlet form

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Logarithmic Sobolev Inequalities

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The Variational Formulation of the Fokker--Planck Equation

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Gradient flows of the entropy for finite Markov chains

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A step beyond Tsallis and Rényi entropies

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On quantum Rényi entropies: A new generalization and some properties

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A closed-form expression for the Sharma–Mittal entropy of exponential families

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THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

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Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality

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Quasi-entropies for finite quantum systems

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Concentration of Measure Inequalities in Information Theory, Communications, and Coding

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Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation

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Possible generalization of Boltzmann-Gibbs statistics.

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Rényi Divergence and Kullback-Leibler Divergence

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Optimal Transport

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Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy

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Identifiers

zbMATH Open document ID

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10.1007/s10955-019-02339-8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

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