Uniform logarithmic Sobolev inequality for Boltzmann measures with exterior magnetic field over spheres

DOI10.1007/s10440-011-9644-4zbMath1239.60013OpenAlexW2033637078MaRDI QIDQ652297

Bin Qian, Zhengliang Zhang, Yu Tao Ma

Publication date: 14 December 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9644-4

zbMATH Keywords

logarithmic Sobolev inequalityPoincaré inequalityBoltzmann measureTalagrand's transportation inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (4)

On the spectral gap of Boltzmann measures on the unit sphere ⋮ Spectral gap in mean-field \({\mathcal{O}}(n)\)-model ⋮ A very simple proof of the LSI for high temperature spin systems ⋮ Spectral gap of Boltzmann measures on unit circle

Cites Work

• On quadratic transportation cost inequalities
• Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
• Hypercontractivity of Hamilton-Jacobi equations.
• Logarithmic Sobolev Inequalities
• Séminaire de Probabilités XXXVI
• Sobolev inequalities for probability measures on the real line
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