论文标题
Hutchinson-Barnsley理论用于通用迭代功能系统，借助无限迭代功能系统
The Hutchinson-Barnsley theory for generalized iterated function systems by means of infinite iterated function systems
论文作者
论文摘要
Mihail和Miculescu于2008年介绍了广义迭代功能系统（GIF）的研究。我们提供了一种新的方法来研究这些系统，作为Hutchinson-Barnsley设置的限制，用于无限迭代功能系统（IIFS），这是许多作者在过去几年中已开发的。我们表明，与Hausdorff-pompeiu的限制，任何吸引人的迭代迭代功能系统的吸引者指标是承包商无限迭代功能系统的限制。我们还证明，与概率相对于Hutchinson的Monge-Kantorovich指标，Hutchinson的任何Hutchinson量度都限制了Hutchinson的Monge-Kantorovich指标，用于具有概率的合同无限无限迭代功能系统。
The study of generalized iterated function systems (GIFS) was introduced by Mihail and Miculescu in 2008. We provide a new approach to study those systems as the limit of the Hutchinson-Barnsley setting for infinite iterated function systems (IIFS) which has been developed by many authors in the last years. We show that any attractor of a contractive generalized iterated function system is the limit with respect to Hausdorff-Pompeiu metric of attractors of contractive infinite iterated function systems. We also prove that any Hutchinson measure for a contractive generalized iterated function system with probabilities is the limit with respect to the Monge-Kantorovich metric of the Hutchinson measures for contractive infinite iterated function systems with probabilities.
