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【本科生沙龙】A brief introduction to Hausdorff dimension
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【本科生沙龙】分析与代数讨论班 第二十四期



#Math101 Session 24

Time:Dec. 7, 2024, 15:30--17:30

Location:D212 Hai Tian Building, Chang'an Campus

Speaker:Miss Sheng, Chen

Title:A brief introduction to Hausdorff dimension

Abstract:The Hausdorff dimension is a fundamental concept in fractal geometry. It involves covering a set with small balls and can be used to determine whether a set is “large” or “small” in terms of measure. In this talk, we will give a brief introduction, starting with definitions of Hausdorff (outer) measures. Simple properties and various methods which could be used to estimate the dimension will be discussed.