Conformal Fractals: Ergodic Theory Methods
Conformal Fractals: Ergodic Theory Methods
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DOI：
10.1017/cbo9781139193184
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发表时间：
2010-06
期刊：
影响因子：
--
通讯作者：
F. Przytycki;M. Urbanski
中科院分区：
文献类型：
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作者：
F. Przytycki;M. Urbanski
引言基本的例子和定义1.保持自同态的测度2.紧度量空间3.距离扩展地图4.热力学形式主义5.扩大推斥在流形和黎曼领域，表6。康托排斥线，沙利文的标度函数，在费根鲍姆普适性的应用7。第八章.共形扩张排斥9.苏利文的共形扩张排斥分类10.具有正李雅普诺夫指数11不变概率测度的全纯映射。保形措施参考索引。
Introduction Basic examples and definitions 1. Measure preserving endomorphisms 2. Compact metric spaces 3. Distance expanding maps 4. Thermodynamical formalism 5. Expanding repellers in manifolds and in the Riemann sphere, preliminaries 6. Cantor repellers in the line, Sullivan's scaling function, application in Feigenbaum universality 7. Fractal dimensions 8. Conformal expanding repellers 9. Sullivan's classification of conformal expanding repellers 10. Holomorphic maps with invariant probability measures of positive Lyapunov exponent 11. Conformal measures References Index.