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曼德布洛特在1967年《科学》杂志上发表的论文《英国的海岸线有多长？统计自相似性和分形维数How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension》中讨论了'''<font color="#ff8000"> [[豪斯多夫维数]]Hausdorff dimension</font>'''的自相似曲线。这些都是分形的例子，尽管当时曼德布洛特在论文中并没有使用这个术语，因为他直到1975年才创造这个名词。该论文是曼德布洛特关于分形主题的第一批出版物之一。<ref>"Dr. Mandelbrot traced his work on fractals to a question he first encountered as a young researcher: how long is the coast of Britain?": Benoit Mandelbrot (1967). "[https://www.nytimes.com/2010/10/17/us/17mandelbrot.html?adxnnl=1&adxnnlx=1332064840-/vD0Sjafcl9t9BNghRf8Qw Benoît Mandelbrot, Novel Mathematician, Dies at 85] {{Webarchive|url=https://web.archive.org/web/20181231150228/https://www.nytimes.com/2010/10/17/us/17mandelbrot.html?adxnnl=1&adxnnlx=1332064840-%2FvD0Sjafcl9t9BNghRf8Qw |date=31 December 2018 }}", ''The New York Times''.</ref><ref name="Mandelbrot_Science_1967">{{cite journal | title=How long is the coast of Britain? Statistical self-similarity and fractional dimension | journal=Science | date=5 May 1967 | author=Mandelbrot, Benoit B. | pages=636–638 | volume=156 | issue=3775 | doi=10.1126/science.156.3775.636 | pmid=17837158 | url=http://users.math.yale.edu/~bbm3/web_pdfs/howLongIsTheCoastOfBritain.pdf | bibcode=1967Sci...156..636M |  access-date=11 January 2016 | archive-date=13 July 2015 | archive-url=https://web.archive.org/web/20150713023120/http://www.sciencemag.org/content/156/3775/636 | url-status=live }}</ref>

曼德布洛特在1967年《科学》杂志上发表的论文《英国的海岸线有多长？统计自相似性和分形维数How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension》中讨论了'''<font color="#ff8000"> [[豪斯多夫维数]]Hausdorff dimension</font>'''的自相似曲线。这些都是分形的例子，尽管当时曼德布洛特在论文中并没有使用这个术语，因为他直到1975年才创造这个名词。该论文是曼德布洛特关于分形主题的第一批出版物之一。<ref>"Dr. Mandelbrot traced his work on fractals to a question he first encountered as a young researcher: how long is the coast of Britain?": Benoit Mandelbrot (1967). "[https://www.nytimes.com/2010/10/17/us/17mandelbrot.html?adxnnl=1&adxnnlx=1332064840-/vD0Sjafcl9t9BNghRf8Qw Benoît Mandelbrot, Novel Mathematician, Dies at 85] {{Webarchive|url=https://web.archive.org/web/20181231150228/https://www.nytimes.com/2010/10/17/us/17mandelbrot.html?adxnnl=1&adxnnlx=1332064840-%2FvD0Sjafcl9t9BNghRf8Qw |date=31 December 2018 }}", ''The New York Times''.</ref><ref name="Mandelbrot_Science_1967">{{cite journal | title=How long is the coast of Britain? Statistical self-similarity and fractional dimension | journal=Science | date=5 May 1967 | author=Mandelbrot, Benoit B. | pages=636–638 | volume=156 | issue=3775 | doi=10.1126/science.156.3775.636 | pmid=17837158 | url=http://users.math.yale.edu/~bbm3/web_pdfs/howLongIsTheCoastOfBritain.pdf | bibcode=1967Sci...156..636M |  access-date=11 January 2016 | archive-date=13 July 2015 | archive-url=https://web.archive.org/web/20150713023120/http://www.sciencemag.org/content/156/3775/636 | url-status=live }}</ref>

曼德布洛特特地强调可以使用分形作为描述现实世界中多数“粗糙”现象的模型，因其能真实且有效地展现出来。他还总结道：“实际粗糙度通常都是分形的，是可以测量出来的。” <ref name=Mandelbrot />{{rp|296}}不过，尽管他创造了“[[分形]]”一词，但他在《大自然的分形几何学》中提出的一些数学现象之前曾被其他数学家描述过。只是在曼德布洛特之前，这些现象被视为不自然并且非直觉特性的特例存在。是曼德布洛特首次将这些现象或物体放在一起，并将它们变成了必要的工具，通过长期的努力，以科学的范畴去解释现实世界中这些非光滑的“粗糙”物体。

曼德布洛特特地强调可以使用分形作为描述现实世界中多数“粗糙”现象的模型，因其能真实且有效地展现出来。他还总结道：“实际粗糙度通常都是分形的，是可以测量出来的。” <ref name=Mandelbrot />不过，尽管他创造了“[[分形]]”一词，但他在《大自然的分形几何学》中提出的一些数学现象之前曾被其他数学家描述过。只是在曼德布洛特之前，这些现象被视为不自然并且非直觉特性的特例存在。是曼德布洛特首次将这些现象或物体放在一起，并将它们变成了必要的工具，通过长期的努力，以科学的范畴去解释现实世界中这些非光滑的“粗糙”物体。

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* {{cite book |last1=Mandelbrot |first1=Benoît B. |title=大自然的分形几何学 | year=1983 |publisher=W.H. Freeman |location=San Francisco |isbn=978-0-7167-1186-5|title-link=The Fractal Geometry of Nature }}

* {{cite book |last1=Mandelbrot |first1=Benoît B. |title=大自然的分形几何学 | year=1983 |publisher=W.H. Freeman |location=San Francisco |isbn=978-0-7167-1186-5|title-link=The Fractal Geometry of Nature }}

* [[Heinz-Otto Peitgen]], [[Hartmut Jürgens]], [[Dietmar Saupe]] and Cornelia Zahlten: ''分形：一个生动的讨论'' (63 min video film, interviews with Benoît Mandelbrot and Edward Lorenz, computer animations), W.H. Freeman and Company, 1990. {{isbn|0-7167-2213-5}} (re-published by Films for the Humanities & Sciences, {{isbn|978-0-7365-0520-8}})

* [[Heinz-Otto Peitgen]], [[Hartmut Jürgens]], [[Dietmar Saupe]] and Cornelia Zahlten: ''分形：一个生动的讨论'' (63 min video film, interviews with Benoît Mandelbrot and Edward Lorenz, computer animations), W.H. Freeman and Company, 1990. (re-published by Films for the Humanities & Sciences,

 

* Mandelbrot, Benoit B. (1997) '' 金融分形和规模化：间断性，集中性，风险'', Springer.  

* Mandelbrot, Benoit B. (1997) '' 金融分形和规模化：间断性，集中性，风险'', Springer.