Michael Betancourt

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November 2026 Digest

New Writing


I have finally finished a new probability theory chapter. In fact, two of them. Two and a half if you consider the substantial updates to my product spaces chapter.


The product spaces chapter has been reorganized and expanded.  This includes a discussion of the rectangles and cylinders and new, cleaner notation and terminology for product spaces and their cross sections.


HTML: https://betanalpha.github.io/assets/chapters_html/product_spaces.html

PDF: https://betanalpha.github.io/assets/chapters_pdf/product_spaces.pdf


What's a space without probability?  This new chapter covers everything from Fubini-Tonelli; product disintegrations; joint, marginal, and conditional density functions; Bayes' Theorem; convolutions; and more.

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