Conformal Fractals:Ergodic Theory Methods (London Mathematical Society Lecture Note Ser: LMS, No. 371) '10
Przytycki, Feliks, Urbanski, Mariusz 著
内容
目次
Introduction; Basic examples and definitions; 1. Measure preservingendomorphisms; 2. Compact metric spaces; 3. Distance expanding maps; 4.Thermodynamical formalism; 5. Expanding repellers in manifolds and in theRiemann sphere, preliminaries; 6. Cantor repellers in the line, Sullivan'sscaling function, application in Feigenbaum universality; 7. Fractaldimensions; 8. Conformal expanding repellers; 9. Sullivan's classification ofconformal expanding repellers; 10. Holomorphic maps with invariantprobability measures of positive Lyapunov exponent; 11. Conformal measures;References; Index.
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