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Hokkaido University Preprint Series in Mathematics >
RANDOM PERTURBATIONS OF NON-SINGULAR TRANSFORMATIONS ON [0; 1]
| Title: | RANDOM PERTURBATIONS OF NON-SINGULAR TRANSFORMATIONS ON [0; 1] |
| Authors: | IWATA, YUKIKO Browse this author | | OGIHARA, TOMOHIRO Browse this author |
| Keywords: | random dynamical system | | spectral decomposition theorem | | random perturbations |
| Issue Date: | 22-Feb-2011 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 975 |
| Start Page: | 1 |
| End Page: | 18 |
| Abstract: | We consider random perturbations of non-singular measur- able transformations S on [0; 1]. By using the spectral decomposition theorem of Komornik and Lasota, we prove that the existence of the invariant densities for random perturbations of S. Moreover the densi- ties for random perturbations with small noise strongly converges to the deinsity for Perron-Frobenius operator corresponding to S with respect to L1([0; 1])-norm. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69782 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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