Uniform Logarithmic Sobolev Inequality for Boltzmann Measures with Exterior Magnetic Field over Spheres
Uniform Logarithmic Sobolev Inequality for Boltzmann Measures with Exterior Magnetic Field over Spheres
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DOI：
10.1007/s10440-011-9644-4
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发表时间：
2011-12
影响因子：
1.6
通讯作者：
Zheng-liang Zhang;B. Qian;Yutao Ma
中科院分区：
文献类型：
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作者：
Zheng-liang Zhang;B. Qian;Yutao Ma
本文通过将多维测度约化为一维测度，得到了Boltzmann测度的一致对数Sobolev不等式，然后将对数Sobolev不等式常数的刻画应用于实线上的概率测度。
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.