期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 卷:413 |
Local dimensions of measures on infinitely generated self-affine sets | |
Article | |
Rossi, Eino | |
关键词: Self-affine; Infinite iterated function system; Local dimension; | |
DOI : 10.1016/j.jmaa.2013.12.030 | |
来源: Elsevier | |
【 摘 要 】
We show the existence of the local dimension of an invariant probability measure on an infinitely generated self-affine set, for almost all translations. This implies that an ergodic probability measure is exactly dimensional. Furthermore the local dimension equals the minimum of the local Lyapunov dimension and the dimension of the space. (C) 2013 Elsevier Inc. All rights reserved.
【 授权许可】
Free
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