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Curvature and statistics.

Wang, Yu.

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Curvature and statistics.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Curvature and statistics./
作者:	Wang, Yu.
面頁冊數:	85 p.
附註:	Source: Dissertation Abstracts International, Volume: 75-04(E), Section: B.
Contained By:	Dissertation Abstracts International75-04B(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3606544
ISBN:	9781303636851

Curvature and statistics.
Wang, Yu.

Curvature and statistics. - 85 p.

Source: Dissertation Abstracts International, Volume: 75-04(E), Section: B.

Thesis (Ph.D.)--Rutgers The State University of New Jersey - New Brunswick, 2013.

This thesis consists of two parts: In part I we apply the statistical mechanics tech- niques to a generalization of the prescribed Q-curvature problem, especially on the D-dim sphere S D. We introduce a coupling constant c on top of the configurational canonical ensemble and study the weak convergence of this new canonical ensemble. In this part, the Q-curvature does not change sign. In part II the statistical mechanics technique is generalized to the prescribed Q-curvature problem with sign-change, while the mechanical interpretation will be lost. We decompose a single differential equation into a system of two differential equations, and the statistical mechanics technique can be applied to each equation.

ISBN: 9781303636851Subjects--Topical Terms:

515831
Mathematics.

Curvature and statistics.
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520 $a This thesis consists of two parts: In part I we apply the statistical mechanics tech- niques to a generalization of the prescribed Q-curvature problem, especially on the D-dim sphere S D. We introduce a coupling constant c on top of the configurational canonical ensemble and study the weak convergence of this new canonical ensemble. In this part, the Q-curvature does not change sign. In part II the statistical mechanics technique is generalized to the prescribed Q-curvature problem with sign-change, while the mechanical interpretation will be lost. We decompose a single differential equation into a system of two differential equations, and the statistical mechanics technique can be applied to each equation.
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