Stability of the logarithmic Sobolev inequality and uncertainty principle for the Tsallis entropy (Q6637149)

scientific article; zbMATH DE number 7943124

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English	Stability of the logarithmic Sobolev inequality and uncertainty principle for the Tsallis entropy	scientific article; zbMATH DE number 7943124

Statements

instance of

scholarly article

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title

Stability of the logarithmic Sobolev inequality and uncertainty principle for the Tsallis entropy (English)

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author

Takeshi Suguro

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published in

Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

13 November 2024

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zbMATH Keywords

logarithmic Sobolev inequality

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Tsallis entropy

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stability

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uncertainty relation inequality

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Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality

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A note on the Sobolev inequality

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Bounds on the deficit in the logarithmic Sobolev inequality

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Further studies on the thermal equilibrium of gas molecules.

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Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations

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Sobolev inequalities with remainder terms

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Q4378149

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Superadditivity of Fisher's information and logarithmic Sobolev inequalities

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

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Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

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

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Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.

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The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.

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Nonlinear diffusions, hypercontractivity and the optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality

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Improved interpolation inequalities, relative entropy and fast diffusion equations

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Stability Results for Logarithmic Sobolev and Gagliardo–Nirenberg Inequalities

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Stability of the logarithmic Sobolev inequality via the Föllmer process

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A short proof of quantitative stability for the Heisenberg-Pauli-Weyl inequality

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Quantitative logarithmic Sobolev inequalities and stability estimates

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Partially Alternate Derivation of a Result of Nelson

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A supplementary proof of \(L^p\)-logarithmic Sobolev inequality

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Stability of the Young and Hölder inequalities

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The general optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality by Hamilton--Jacobi equations.

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Logarithmic Sobolev Inequalities

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Deficit estimates for the logarithmic Sobolev inequality.

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A Quantitative Log-Sobolev Inequality for a Two Parameter Family of Functions

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Sharp remainder of a critical Hardy inequality

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Hardy type inequalities in \(L^{p}\) with sharp remainders

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The Variational Formulation of the Fokker--Planck Equation

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Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle

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Q4938929

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Analysis.

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Quantitative stability for the Heisenberg-Pauli-Weyl inequality

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A Lyapunov functional for the evolution of solutions to the porous medium equation to self-similarity. I

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Logarithmic Sobolev and Shannon's inequalities and an application to the uncertainty principle

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Non-uniform bound and finite time blow up for solutions to a drift–diffusion equation in higher dimensions

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THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

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Uncertainty relations in the framework of equalities

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A Lyapunov functional for the evolution of solutions to the porous medium equation to self-similarity. II

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Q3188560

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Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements

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Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities.

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The Concavity of Rényi Entropy Power

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An extension of the Bianchi-Egnell stability estimate to Bakry, Gentil, and Ledoux's generalization of the Sobolev inequality to continuous dimensions

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Corrigendum to: ``An extension of the Bianchi-Egnell stability estimate to Bakry, Gentil, and Ledoux's generalization of the Sobolev inequality to continuous dimensions''

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A Mathematical Theory of Communication

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Some inequalities satisfied by the quantities of information of Fisher and Shannon

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Shannon's inequality for the Rényi entropy and an application to the uncertainty principle

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Generalization of Shannon–Khinchin Axioms to Nonextensive Systems and the Uniqueness Theorem for the Nonextensive Entropy

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Possible generalization of Boltzmann-Gibbs statistics.

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Q4805362

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Logarithmic Sobolev Inequalities for the Heat-Diffusion Semigroup

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Identifiers

DOI

10.1016/j.na.2024.113644

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6637149