论文标题

中级维度 - 调查

Intermediate dimensions -- a survey

论文作者

Falconer, Kenneth J.

论文摘要

本文调查了最近引入的$θ$ - 间隔尺寸,该维度提供了从Hausdorff尺寸运行的参数化连续性,当$θ= 0 $到$θ= 1 $时。我们将中间维度的各种特性汇总在一起,这些特性通过示例说明。

This article surveys the $θ$-intermediate dimensions that were introduced recently which provide a parameterised continuum of dimensions that run from Hausdorff dimension when $θ=0$ to box-counting dimensions when $θ=1$. We bring together diverse properties of intermediate dimensions which we illustrate by examples.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源