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Hokkaido University Preprint Series in Mathematics >
Piecewise expanding maps on the plane with singular ergodic properties
| Title: | Piecewise expanding maps on the plane with singular ergodic properties |
| Authors: | Tsujii, M. Browse this author |
| Issue Date: | 1-Jun-1998 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 415 |
| Start Page: | 1 |
| End Page: | 9 |
| Abstract: | For 1 <_ r < oo, we construct a piecewise er expanding map F : D - D on the domain D = (0, 1) x (-1, 1) c R2 with the following property: there exists an open set B in D such that the diameter of pn (B) converges to Oas n - oo and the empirical measure n-1E:i 8Fk(x) converges to the point measure 8p at a point p as n→∞ for any point x EB. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69165 |
| 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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