{"provider_url":"https://hatena.blog","type":"rich","categories":["Fundamentals of Fractal Time Series Analysis","fractional Brownian motion","fractal"],"width":"100%","blog_url":"https://chaos-r.hatenadiary.jp/","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Fchaos-r.hatenadiary.jp%2Fentry%2F2026%2F01%2F27%2F230252\" title=\"Fractal Fluctuations Between Ideal Theory and Reality \u2014 Brownian Motion and Fractional Brownian Motion - Ken-Chaos\u2019s Random Notes on R\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","provider_name":"Hatena Blog","author_url":"https://blog.hatena.ne.jp/chaos_kiyono/","published":"2026-01-27 23:02:52","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\u2019s biological observation to mathematical Brownian motion 2. Time series observed in the real worl\u2026","version":"1.0","title":"Fractal Fluctuations Between Ideal Theory and Reality \u2014 Brownian Motion and Fractional Brownian Motion","height":"190","author_name":"chaos_kiyono","image_url":"https://cdn-ak.f.st-hatena.com/images/fotolife/c/chaos_kiyono/20260127/20260127222720.gif","blog_title":"Ken-Chaos\u2019s Random Notes on R","url":"https://chaos-r.hatenadiary.jp/entry/2026/01/27/230252"}