dc.contributor.author |
Igudesman K. |
|
dc.date.accessioned |
2018-09-17T21:58:33Z |
|
dc.date.available |
2018-09-17T21:58:33Z |
|
dc.date.issued |
2003 |
|
dc.identifier.issn |
1995-0802 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/135671 |
|
dc.description.abstract |
The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we introduce the notion of lacunary self-similar set. The main difference to the standard (Hutchinson) notion of self-similarity is that the set of similarities used in the construction may vary from step to step in a certain way. Using a modification of method described in [3], [4], we find the Hausdorff dimension of a lacunary self-similar set. |
|
dc.relation.ispartofseries |
Lobachevskii Journal of Mathematics |
|
dc.title |
Lacunary self-similar fractal sets and intersection of cantor sets |
|
dc.type |
Article |
|
dc.relation.ispartofseries-volume |
12 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
41 |
|
dc.source.id |
SCOPUS19950802-2003-12-SID4243159814 |
|