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Title: Uniform Logarithmic Sobolev Inequality for Boltzmann Measures with Exterior Magnetic Field over Spheres.
Authors: Zhang, Zhengliang; Qian, Bin; Ma, Yutao
Abstract: In this paper, we obtain the uniform logarithmic Sobolev inequality for the Boltzmann measures by reducing multi-dimensional measures to one-dimensional measures, and then applying the characterization on the constant of logarithmic Sobolev inequality for a probability measure on the real line.
Subjects: MATHEMATICAL inequalities; MEASURE theory; LOGARITHMS; PROBABILITY theory; MAGNETIC fields; SPHERES
Publication: Acta Applicandae Mathematicae, 2011, Vol 116, Issue 3, p305
ISSN: 0167-8019
Publication type: Academic Journal
DOI: 10.1007/s10440-011-9644-4

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Uniform Logarithmic Sobolev Inequality for Boltzmann Measures with Exterior Magnetic Field over Spheres.