摘要翻译:
引入了一个称为“浓度椭球守恒”的一般原理,并在此原理下优化了一个“α”级的广义熵形式。结果表明,这可以产生一个密度,该密度可以作为通往多元高斯密度的途径。由此产生的熵路径包含Boltzmann-Gibbs(Shannon)和Tsallis(Havrda-Charvat)熵形式作为特例。
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英文标题:
《A pathway to multivariate Gaussian density》
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作者:
H.J. Haubold, A.M. Mathai, S. Thomas
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
A general principle called "conservation of the ellipsoid of concentration" is introduced and a generalized entropic form of order 'alpha' is optimized under this principle. It is shown that this can produce a density which can act as a pathway to multivariate Gaussian density. The resulting entropic pathway contains as special cases the Boltzmann-Gibbs (Shannon) and Tsallis (Havrda-Charvat) entropic forms.
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PDF链接:
https://arxiv.org/pdf/709.382


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