Problem of the first passage time for \(p\)-adic diffusion (Q1760220)
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scientific article; zbMATH DE number 6105036
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Problem of the first passage time for \(p\)-adic diffusion |
scientific article; zbMATH DE number 6105036 |
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Problem of the first passage time for \(p\)-adic diffusion (English)
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13 November 2012
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The author investigates certain Levy processes \((X_t)_t\) on the totally disconnected group of \(p\)-adic numbers where the generators of the associated transition semigroups are Vladimirov pseudodifferential operators; these processes are often called \(p\)-adic diffusions. In particular, hitting times \(\tau_B\) for certain balls \(B\) and these processes as well as the associated mean distribution functions of the stopped process \(X_\tau\) are studied.
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Levy process on \(p\)-adic numbers
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\(p\)-adic diffusion
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first passage time
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