Central limit theorem for constrained Poisson systems (Q843117)
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scientific article; zbMATH DE number 5608814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Central limit theorem for constrained Poisson systems |
scientific article; zbMATH DE number 5608814 |
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Central limit theorem for constrained Poisson systems (English)
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29 September 2009
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The background of this paper is possibility to obtain modular forms as moments of random fields on tori evaluated on points of finite order. The authors prove that for class of constrained Poisson white noise fields, the scaling (continuum) limit exists and equals Gaussian white noise, indexed by mean zero test functions. Under natural conditions on the Lévy measure, the (Poisson) moments converge to their Gaussian counterparts.
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Modular forms
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random field
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central limit theorem
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constrained Poisson systems
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Lévy measure
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