Distribution of cycles of monomial \(p\)-adic dynamical systems (Q2751738)
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scientific article; zbMATH DE number 1665077
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distribution of cycles of monomial \(p\)-adic dynamical systems |
scientific article; zbMATH DE number 1665077 |
Statements
17 August 2002
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algebraic dynamics
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\(p\)-adic dynamics
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Distribution of cycles of monomial \(p\)-adic dynamical systems (English)
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The author studies the number of cycles of the dynamical system \(x\mapsto x^n\), over the \(p\)-adic integers, extending previous work. For given \(n\geq 2\) and cycle length, formulae are derived for the expectation and variance of the number of cycles, as the prime \(p\) is varied.NEWLINENEWLINEFor the entire collection see [Zbl 0969.00058].
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