因子映射的虧量函數(shù).pdf

1、南京師范大學(xué)碩士學(xué)位論文因子映射的虧量函數(shù)姓名：徐磊申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：數(shù)學(xué)；基礎(chǔ)數(shù)學(xué)指導(dǎo)教師：陳二才2009-05-13南京師范大學(xué)碩士學(xué)位論文AbstractIn this thesis, we study the important contents in thermodynamicformalism—-the factor map and the variational principle.The thesis is org

2、a-nized as follows:In Chapter 1, we introduce the basic concepts and results in topologicaldynamical systems and ergodic theory.In Chapter 2, we give the definition of the defect function of the factormap between dynamic

3、al systems , and prove the variational principle for thedefect function .In Chapter 3, we establish the variational principle for the topologicalpressure of certain noncompact sets on the compact metric space.Key Words: