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- W2069359669 abstract "This paper deals with the following topics. 1) Numerical invariants of countable groups (entropy, logarithmic volume, and drift); the fundamental inequality relating these invariants, and comparison of generating sets on the basis of this inequality; Monte Carlo generation of groups. 2) An ergodic method for constructing and studying the boundaries of random walks, the entropy of the boundary polymorphism, and their relationship to the fundamental inequality. 3) A geometric realization of free soluble groups, their boundaries, and a geometric approach to the construction of normal forms in groups. 4) Local and locally free groups and calculation of constants for these groups. 5) Entropy in measure theory and in the theory of dynamical systems; new notions of entropy of a decreasing sequence of measurable partitions and secondary entropy of K-automorphisms." @default.
- W2069359669 created "2016-06-24" @default.
- W2069359669 creator A5060648884 @default.
- W2069359669 date "2000-08-31" @default.
- W2069359669 modified "2023-10-18" @default.
- W2069359669 title "Dynamic theory of growth in groups: Entropy, boundaries, examples" @default.
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- W2069359669 cites W1491665733 @default.
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- W2069359669 cites W1516278578 @default.
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- W2069359669 cites W1970889539 @default.
- W2069359669 cites W1978791541 @default.
- W2069359669 cites W1991236720 @default.
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- W2069359669 cites W2002892764 @default.
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- W2069359669 cites W2004594143 @default.
- W2069359669 cites W2006070478 @default.
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- W2069359669 cites W2032868343 @default.
- W2069359669 cites W2035796211 @default.
- W2069359669 cites W2036149340 @default.
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- W2069359669 cites W2087997564 @default.
- W2069359669 cites W2088958217 @default.
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- W2069359669 cites W2895193595 @default.
- W2069359669 cites W2949548830 @default.
- W2069359669 cites W3091804415 @default.
- W2069359669 cites W3098720148 @default.
- W2069359669 cites W3109381375 @default.
- W2069359669 cites W583497972 @default.
- W2069359669 cites W583659940 @default.
- W2069359669 cites W598210721 @default.
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- W2069359669 doi "https://doi.org/10.1070/rm2000v055n04abeh000314" @default.
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