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A class diagram recursive fractal sets on the Ruelle operator

Author: WuYangChao
Tutor: LiangJinRong
School: East China Normal University
Course: Basic mathematics
Keywords: Ruelle operator Figure recursive fractal sets Dini condition Characteristic function Characteristics Measure
CLC: O189.31
Type: Master's thesis
Year: 2009
Downloads: 14
Quote: 0
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Abstract


Fractal of the more famous Ruelle-Perron-Frobenius Theorem ( referred Ruelle operator theorem ) has become a research power systems, thermodynamic formalism , multifractal an essential tool . Earlier , D.Ruelle of infinite one dimensional lattice gas model steady state raised this theorem ; Bowen proved that after the symbolic space iterative system Ruelle operator theorem ; recently , Fan and Lau proved that defined in the compact metric space compression iterative system Ruelle operator theorem . currently, about Ruelle operator and convergence properties has been studied a lot of literature , culture techniques developed in this paper will Ruelle operator theorem to a class diagram recursive fractal set. thesis is divided into three chapters. the first chapter is the introduction . No. Chapter II describes Bowen text Ruelle operator and theorems , Fan and Lau in Ruelle operators and theorems and Figure recursive fractal set definition. third chapter first gives this study a class diagram recursive fractal set definition , and then prove the the Ruelle operator theorem .

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Topology ( the situation in geometry ) > Analytic topology > Flow -shaped geometry
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