Regularized Brownian motion on the Siegel disk of infinite dimension (Q2722145)
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scientific article; zbMATH DE number 1617388
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularized Brownian motion on the Siegel disk of infinite dimension |
scientific article; zbMATH DE number 1617388 |
Statements
11 July 2001
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regularized Brownian motion
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Siegel disk
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infinite dimension
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Kählerian metric
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0.92914796
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0.90346193
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0.90217304
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0.8961712
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0.8930427
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0.8909547
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0.8864207
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0.8858464
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Regularized Brownian motion on the Siegel disk of infinite dimension (English)
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The theory of groups of finite dimension and their homogeneous spaces need integration theory fitting the algebraic structure. On the Lie algebra the canonic Hilbertian structure induced by a canonical cocycle exists. This Hilbertian structure defines a formal canonic Laplacian. Then a natural question is to provide an effective construction of the corresponding heat process. This has been done by \textit{P. Malliavin} [C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 4, 325-329 (1999)] for the diffeomorphism group of the circle. In this paper a process of Brownian motion on the Siegel disk of infinite dimension is constructed.
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