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  <blog_title>Ken-Chaos’s Random Notes on R</blog_title>
  <blog_url>https://chaos-r.hatenadiary.jp/</blog_url>
  <categories>
    <anon>Fundamentals of Fractal Time Series Analysis</anon>
    <anon>fractional Brownian motion</anon>
    <anon>fractal</anon>
  </categories>
  <description>I would like to explain Brownian motion and fractional Brownian motion starting from the very basics, for readers who want to understand these concepts carefully and from first principles. 1. From Brown’s biological observation to mathematical Brownian motion 2. Time series observed in the real worl…</description>
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  <provider_name>Hatena Blog</provider_name>
  <provider_url>https://hatena.blog</provider_url>
  <published>2026-01-27 23:02:52</published>
  <title>Fractal Fluctuations Between Ideal Theory and Reality — Brownian Motion and Fractional Brownian Motion</title>
  <type>rich</type>
  <url>https://chaos-r.hatenadiary.jp/entry/2026/01/27/230252</url>
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