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Everything about Disintegration theorem

Theorem in measure theory

In mathematics, the disintegration theorem is a result in measure theory and probability theory. It rigorously defines the idea of a non-trivial "restriction" of a measure to a measure zero subset of the measure space in question. It is related to the existence of conditional probability measures. In a sense, "disintegration" is the opposite process to the construction of a product measure. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Disintegration theoremA 5-minute orientation
  2. Pick up a classic book: Europe in questionThe most-reprinted book on the subject
  3. Read the landmark paper: Conditional measures and conditional expectation; Rohlin's Disintegration TheoremCited 41 times
  4. Go sideways: Lifting theoryA closely related topic
  5. Go sideways: Pushforward measureA closely related topic

📖 Definitions

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🗂️ The subject at a glance

  1. Motivation
  2. Statement of the theorem
  3. Applications

🏆 Landmark papers (most cited)

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics