Markovian random evolution in \(R^{n}\) (Q2739928)
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scientific article; zbMATH DE number 1646386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Markovian random evolution in \(R^{n}\) |
scientific article; zbMATH DE number 1646386 |
Statements
16 September 2001
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minimal random evolutions
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regular tetrahedron
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Kolmogorov backward equation
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transition probability
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telegraph equation
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Markovian random evolution in \(R^{n}\) (English)
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This paper deals with the minimal random evolutions in \(R^{n}\). The directions of the evolutions are defined using \(n\)-dimensional regular tetrahedron inscribed in a unit sphere. A system of Kolmogorov backward equations is obtained for the evolutions and this system is reduced to a telegraph equation of high degree. Using a change of variables the last telegraph equation is reduced to the Bessel equation of high order.
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