Continuous dependence on parameters of certain self-affine measures, and their singularity

Title:

Continuous dependence on parameters of certain self-affine measures, and their singularity

Creator:

Ding, Daoxin

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:14bb31c8-9a98-4a0f-a7d0-55005116df37
uuid:14bb31c8-9a98-4a0f-a7d0-55005116df37

Subject:

iterated function system, self-affine set, self-affine measure, and singularity

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

495-508

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:2

Harvested from:

CDK

Metadata only:

false