Self Similar Groups is popular PDF and ePub book, written by Volodymyr Nekrashevych in 2024-04-05, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Self Similar Groups can be Read Online from any device for your convenience.
Self Similar Groups Book PDF Summary
Self-similar groups (groups generated by automata) appeared initially as examples of groups that are easy to define but that enjoy exotic properties like nontrivial torsion, intermediate growth, etc. The book studies the self-similarity phenomenon in group theory and shows its intimate relation with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. The relation is established through the notions of the iterated monodromy group and the limit space, which are the central topics of the book. A wide variety of examples and different applications of self-similar groups to dynamical systems and vice versa are discussed. It is shown in particular how Julia sets can be reconstructed from the respective iterated monodromy groups and that groups with exotic properties appear now not just as isolated examples but as naturally defined iterated monodromy groups of rational functions. The book is intended to be accessible to a wide mathematical readership, including graduate students interested in group theory and dynamical systems.
Detail Book of Self Similar Groups PDF
- Author : Volodymyr Nekrashevych
- Release : 05 April 2024
- Publisher : American Mathematical Society
- ISBN : 9781470476915
- Genre : Mathematics
- Total Page : 248 pages
- Language : English
- PDF File Size : 13,9 Mb
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