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Laplacian Generated by the Gaussian Measure and Ergodic Theorem
- Source :
- Ukrainian Mathematical Journal. 67:1316-1326
- Publication Year :
- 2016
- Publisher :
- Springer Science and Business Media LLC, 2016.
-
Abstract
- We consider the Laplacian generated by the Gaussian measure on a separable Hilbert space and prove the ergodic theorem for the corresponding one-parameter semigroup.
- Subjects :
- Mathematics::Operator Algebras
General Mathematics
010102 general mathematics
Mathematical analysis
Gaussian measure
Vector Laplacian
Stationary ergodic process
01 natural sciences
Gaussian random field
010101 applied mathematics
Ergodic theory
Invariant measure
0101 mathematics
Laplacian matrix
Laplace operator
Mathematics
Subjects
Details
- ISSN :
- 15739376 and 00415995
- Volume :
- 67
- Database :
- OpenAIRE
- Journal :
- Ukrainian Mathematical Journal
- Accession number :
- edsair.doi...........afede662d7543b14718393597cb3c4c0
- Full Text :
- https://doi.org/10.1007/s11253-016-1155-z