Gap sequences of McMullen sets
| Autor: | Jun Jie Miao, Ying Xiong, Li-Feng Xi |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Proceedings of the American Mathematical Society. 145:1629-1637 |
| ISSN: | 1088-6826 0002-9939 |
| DOI: | 10.1090/proc/13342 |
| Popis: | We study the gap sequence of totally disconnected McMullen sets. Our result shows that if every horizontal line in the McMullen set is nonempty, then the gap sequence is unrelated to the box dimension. This implies that in such situations, the separation properties of McMullen sets are quite different from that of self-similar sets. |
| Databáze: | OpenAIRE |
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