| Title:
|
On the maximal run-length function in the Lüroth expansion (English) |
| Author:
|
Sun, Yu |
| Author:
|
Xu, Jian |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
277-291 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain a metrical property on the asymptotic behaviour of the maximal run-length function in the Lüroth expansion. We also determine the Hausdorff dimension of a class of exceptional sets of points whose maximal run-length function has sub-linear growth rate. (English) |
| Keyword:
|
Lüroth expansion |
| Keyword:
|
run-length function |
| Keyword:
|
Hausdorff dimension |
| MSC:
|
11K55 |
| MSC:
|
28A80 |
| idZBL:
|
Zbl 06861581 |
| idMR:
|
MR3783599 |
| DOI:
|
10.21136/CMJ.2018.0474-16 |
| . |
| Date available:
|
2018-03-19T10:31:32Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147135 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
