| Title:
|
Continuous dependence on parameters of certain self-affine measures, and their singularity (English) |
| Author:
|
Ding, Daoxin |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
495-508 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we first prove that the self-affine sets depend continuously on the expanding matrix and the digit set, and the corresponding self-affine measures with respect to the probability weight behave in much the same way. Moreover, we obtain some sufficient conditions for certain self-affine measures to be singular. (English) |
| Keyword:
|
iterated function system |
| Keyword:
|
self-affine set |
| Keyword:
|
self-affine measure |
| Keyword:
|
singularity |
| MSC:
|
28A80 |
| idZBL:
|
Zbl 1249.28009 |
| idMR:
|
MR2905418 |
| DOI:
|
10.1007/s10587-011-0068-0 |
| . |
| Date available:
|
2011-06-06T10:37:14Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141548 |
| . |
| 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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| 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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