论文标题

异质的无处不在定理,适用于重叠的自相似度量

An heterogeneous ubiquity theorem, application to self-similar measures with overlaps

论文作者

Daviaud, Edouard

论文摘要

在本文中,当球的序列根据有限度量分布时,一个非常通用的框架质量转移原理从球到任意开放的集合。作为主要定理的应用,当措施是自相似的情况下,没有分离条件时,就建立了质量转移原理。

In this article, one investigates in a very general frame mass transference principles from ball to arbitrary open sets when the sequence of balls is distributed according to a finite measure. As an application of the main theorem, a mass transference principle is established when the measure is self-similar with no separation conditions.

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