| Title:
|
Points with maximal Birkhoff average oscillation (English) |
| Author:
|
Li, Jinjun |
| Author:
|
Wu, Min |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
66 |
| Issue:
|
1 |
| Year:
|
2016 |
| Pages:
|
223-241 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $f\colon X\to X$ be a continuous map with the specification property on a compact metric space $X$. We introduce the notion of the maximal Birkhoff average oscillation, which is the ``worst'' divergence point for Birkhoff average. By constructing a kind of dynamical Moran subset, we prove that the set of points having maximal Birkhoff average oscillation is residual if it is not empty. As applications, we present the corresponding results for the Birkhoff averages for continuous functions on a repeller and locally maximal hyperbolic set. (English) |
| Keyword:
|
irregular set |
| Keyword:
|
maximal Birkhoff average oscillation |
| Keyword:
|
specification property |
| Keyword:
|
residual set |
| MSC:
|
37C45 |
| MSC:
|
54E52 |
| MSC:
|
54H20 |
| idZBL:
|
Zbl 06587886 |
| idMR:
|
MR3483235 |
| DOI:
|
10.1007/s10587-016-0252-3 |
| . |
| Date available:
|
2016-04-07T15:09:42Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144879 |
| . |
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