Functional evolutions for homogeneous stationary death-immigration spatial dynamics (Q2896651)
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scientific article; zbMATH DE number 6056399
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional evolutions for homogeneous stationary death-immigration spatial dynamics |
scientific article; zbMATH DE number 6056399 |
Statements
16 July 2012
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stochastic dynamics of configurations
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Surgailis process
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correlation functions
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math-ph
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math.DS
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math.FA
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math.MP
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0.8591641
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0.85753536
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0.8494915
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0.84899145
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0.8487671
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0.8486199
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0.84669983
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Functional evolutions for homogeneous stationary death-immigration spatial dynamics (English)
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The author considers a model of the stochastic dynamics of configurations in the continuum, in which only independent (constant) death and immigration appear. The corresponding stochastic process was introduced by \textit{D. Surgailis} [Probab. Math. Stat. 3, 217--239 (1982; Zbl 0548.60058)]. An explicit expression for the correlation function is given. Dynamics of states and their generating functionals, especially ergodic properties of the evolutions, are studied.
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