Dynamical Systems and Group Actions
β Lewis Bowen, Rostislav Grigorchuk, Yaroslav Vorobets
π Library
π
2012
π Amer Mathematical Society
π English
β¦ LIBER β¦
π
Automata, Dynamical Systems, and Groups
β Scribed by R. I. Grigorchuk, V. V. Nekrashevych, V. I. Sushchanskii
- Publisher
- Trudy Mat. Inst. Steklova
- Year
- 2000
- Leaves
- 82
- Category
- Library
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No coin nor oath required. For personal study only.
β¦ Synopsis
This paper is devoted to the groups of finite automata and their applications in algebra, dynamical systems, and geometry. The groups of synchronous automata as well as the groups of asynchronous automata are considered. The problems of reduction of finite asynchronous automata, the types of growth of finite synchronous automata, and the conditions of embeddability of groups in the group of automata are studied. The automorphism groups of cellular automata are investigated. A group of rational homeomorphisms of the Cantor set is introduced. The dynamics, on the boundary of a tree, determined by an automaton group is investigated. Certain unsolved problems are formulated.
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