Dynamic theory of growth in groups: Entropy, boundaries, examples (Q2710707)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamic theory of growth in groups: Entropy, boundaries, examples |
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Dynamic theory of growth in groups: Entropy, boundaries, examples (English)
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28 August 2002
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entropy
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growth of free groups
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boundary
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0.8300833
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0.82565886
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0.8252682
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0.81931674
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0.81740224
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0.8152536
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This is an expository paper of the following topics: (1) Numerical invariants of countable free groups. (2) An ergodic method for constructing the boundaries of random walks, the entropy of the boundary polymorphism. (3) A geometric realization of the free solvable groups and their boundaries. (4) Dynamical structure of local and locally free groups. (5) Secondary entropy of \(K\)-automorphisms.
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