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Curvature and statistics.

Wang, Yu.

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Curvature and statistics.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Curvature and statistics./
Author:	Wang, Yu.
Description:	85 p.
Notes:	Source: Dissertation Abstracts International, Volume: 75-04(E), Section: B.
Contained By:	Dissertation Abstracts International75-04B(E).
Subject:	Mathematics. -
Online resource:	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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008 150210s2013 ||||||||||||||||| ||eng d
020 $a 9781303636851
035 $a (MiAaPQ)AAI3606544
035 $a AAI3606544
040 $a MiAaPQ $c MiAaPQ
100 1 $a Wang, Yu. $3 1058372
245 1 0 $a Curvature and statistics.
300 $a 85 p.
500 $a Source: Dissertation Abstracts International, Volume: 75-04(E), Section: B.
500 $a Adviser: Michael Kiessling.
502 $a Thesis (Ph.D.)--Rutgers The State University of New Jersey - New Brunswick, 2013.
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.
590 $a School code: 0190.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Statistics. $3 517247
690 $a 0405
690 $a 0364
690 $a 0463
710 2 $a Rutgers The State University of New Jersey - New Brunswick. $b Graduate School - New Brunswick. $3 1019196
773 0 $t Dissertation Abstracts International $g 75-04B(E).
790 $a 0190
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3606544