Markov processes on the adeles and representations of Euler products (Q1960228)
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scientific article; zbMATH DE number 5799405
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Markov processes on the adeles and representations of Euler products |
scientific article; zbMATH DE number 5799405 |
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Markov processes on the adeles and representations of Euler products (English)
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13 October 2010
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The author constructs Markov processes on the ring of adeles. Their transition probabilities are given as solutions of Kolmogorov's differential equations, and the resulting processes have independent \(p\)-components which are \(p\)-adic-valued processes. Considering local and global exit times of adelic processes from some subsets, he gives representation formulae relating them to Euler products.
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adeles
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Markov process
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Euler product
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zeta function
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