[PDF.29ka] Self-Similar Groups (Mathematical Surveys and Monographs)

Self-Similar Groups (Mathematical Surveys and Monographs)

[PDF.oy25] Self-Similar Groups (Mathematical Surveys and Monographs)

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 | #3999757 in Books |  2005-08-09 | Original language:English | PDF # 1 |  10.25 x7.25 x.75l,1.45 | File type: PDF | 231 pages

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Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial torsion, intermediate growth, etc. This book studies the self-similarity phenomenon in group theory and shows its intimate relationship with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. This connection is established through the central topics ...

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