On the classification of self-similar sets determined by two contractions on the plane

Kawamura, Kiko

Kawamura, Kiko

J. Math. Kyoto Univ., Tome 42 (2002) no. 4, p. 255-286 / Harvested from Project Euclid

Résumé

We classify binary self-similar sets, which are compact sets determined by two contractions on the plane, into four classes from the viewpoint of functional equations. In this classification, we can not only show close relationships among functions with self-similarity but also give solutions to a few open problems in other field.

Publié le : 2002-05-15
Classification: 39B22, 28A80, 37E99, 39B12

@article{1250283870,
     author = {Kawamura, Kiko},
     title = {On the classification of self-similar sets determined by two contractions on the plane},
     journal = {J. Math. Kyoto Univ.},
     volume = {42},
     number = {4},
     year = {2002},
     pages = { 255-286},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250283870}
}

Kawamura, Kiko. On the classification of self-similar sets determined by two contractions on the plane. J. Math. Kyoto Univ., Tome 42 (2002) no. 4, pp.  255-286. http://gdmltest.u-ga.fr/item/1250283870/