---
date: 2022-05-10 17:31
modification date: Tuesday 10th May 2022 17:31:10
title: "Hausdorff measure"
aliases: [Hausdorff measure]
---

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- Tags: 
	- #analysis
- Refs:
	- #todo/add-references
- Links:
	- #todo/create-links 

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# Hausdorff measure

![](attachments/Pasted%20image%2020220510173112.png)

The image of [Brownian motion](Brownian%20motion) in $\RR^2$ almost surely has Hausdorff dimension 2 and 2-dimensional Hausdorff measure 0.