Index Λ-tree, 15 k-lane property, 51 basin of attraction, 9 Birkhoff ergodic theorem, 33 boundary, 15 Cantor set, 4 Caratheodory theorem, 31 dimension conservation, 55 dimension of a tree, 15 Entropy function, 42 flat section, 16 Frostman’s lemma, 13, 25 gallery, 27 gallery of trees, 35 Hausdorff dimension, 12 Hausdorff distance, 1 homogeneous, 56 Information function, 42 Julia set, 6 Mandelbrot fractal, 7 Markov operator, 37 Markov process, 32, 37 micro-set, 2 mini-set, 2 minimal, 15 minimal section, 17 Minkowski dimension, 11 Newton method, 8 probability tree, 23 Riesz theorem, 37, 39 section, 15 Sierpinski gasket, 3 star dimension, 13, 36 stationary measures, 39 stationary process, 37 stationary random process, 33 successor tree, 35 69
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