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Statistical entropy of Barriola-Vilenkin black hole

Li Gu-Qiang,

物理学报 , 2004,
Abstract: The partition functions of bosonic and fermionic field in Barriola_Vilenkin black hole are directly derived by using the method of quantum statistics. Then the entropy of the Barriola_Vilenkin black hole is calculated by using the improved brick_wall method in the frame of membrane model.
Generalized Stenfan-Boltzmann law of the Dirac field of Barriola-Vilenkin black hole

Meng Qing-Miao,Li Zhong-Rang,Li Yu-Shan,

物理学报 , 2010,
Abstract: Using the thin film model of black hole, the thermal radiation laws of the Barriola-Vilenkin black hole are studied. We obtained the result that the thermal radiation of the black hole always satisfies the generalized Stenfan-Boltzmann law. The derived generalized Stenfan-Boltzmann coefficient is no longer a constant. When the cut-off distance and the thin film thickness are both fixed, it is a proportional coefficient related to the space-time metric near the event horizon and the average radial effusion velocity of the radiation particles in the thin film. The radiation energy flux of the Dirac field of the Barriola-Vilenkin black hole is proportional to the average radial effusion velocity of the radiation particles in the thin film, and inversely proportional to the square of the black hole mass.
Quantum corrections to the entropy of the Barriola-Vilenkin black hole due to sp in fields

Li Gu-Qiang,

物理学报 , 2003,
Abstract: The quantum corrections to the entropy of the Barriola-Vilenkin black hole due to the massless gravitational field are calculated by using the brick-wall model.It is shown that the quantum corrections consist of two parts:One is a quadratic divergent term at the event horizon and is proportional to the surface area of the event horizon.The other is two logarithmically divergent terms which not only depend on the characteristics of the black hole but also on the spin of the field.The whole expression does not take the form of the scalar field.
Massive particle quantum tunneling radiation of Barriola-Vilenkin black hole with global monopole

Meng Qing-Miao,Su Jiu-Qing,Jiang Ji-Jian,

物理学报 , 2007,
Abstract: The quantum tunneling framework is adopted to investigate tunneling radiation of Barriola-Vilenkin black hole with a global monopole. We obtain a conclusion that the emission rate of massive particles is related with the change of Bekenstein-Hawking entropy. The emission rates of massless and massive particles take the same functional form. It is consistent with the underlying unitary theory.
Spacetime Dependent Lagrangians and the Barriola-Vilenkin Monopole Mass  [PDF]
Debashis Gangopadhyay,Rajsekhar Bhattacharyya,L. P. Singh
Physics , 2002,
Abstract: This paper has been withdrawn by the authors in order to replace it with a more correct treatment. The basic results remain the same but the treatment is more rigorously correct.
A note on the Vilenkin-Fourier coefficients  [PDF]
George Tephnadze
Mathematics , 2014, DOI: 10.1515/gmj-2013-0007
Abstract: The main aim of this paper is to find the estimation for Vilenkin-Fourier coefficients.
Trees in Wavelet analysis on Vilenkin groups  [PDF]
S. F. Lukomskii
Mathematics , 2013,
Abstract: We consider a class of $(1,M)$-elementary step functions on the $p$-adic Vilenkin group. We prove that $(1,M)$-elementary step function generates a MRA on $p$-adic Vilenkin group iff it is generated by a rooted tree on the set of vertices $\{0,1,\dots p-1\}$ with 0 as a root. Bibliography: 14 titles.
大沙鼠鼠洞分布格局的初步研究  [PDF]
动物学杂志 , 1997,
Abstract: 大沙鼠鼠洞以洞系为单位,其空间分布格局有明显季节差异。其单个洞群内的洞口呈聚集分布。用相邻方格子法检验10修有样方面积和不同季节鼠洞分布格局,发现不季节和样方面积鼠洞分布型有明显差异。
The boundedness of multilinear commutators on locally compact Vilenkin groups  [PDF]
Canqin Tang
Journal of Function Spaces and Applications , 2006, DOI: 10.1155/2006/645740
Abstract: Let G be a locally compact Vilenkin group. In this paper, the authors investigate the boundedness of multilinear commutators of fractional integral operator on Lebesgue spaces on G. Furthermore, the boundedness on Hardy spaces are also obtained in this paper.
Maximal operators of Vilenkin-N?rlund means  [PDF]
L. E. Persson,G. Tephnadze,P. Wall
Mathematics , 2015,
Abstract: In this paper we prove and discuss some new $\left(H_{p},weak-L_{p}\right) $ type inequalities of maximal operators of Vilenkin-N\"orlund means with monotone coefficients. We also apply these results to prove a.e. convergence of such Vilenkin-N\"orlund means. It is also proved that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out.
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