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Convergence of random variables

Usefulness: 🔧
Novelty: 💡
Uncertainty: 🤪 🤪 🤪
Incompleteness: 🚧 🚧 🚧

Placeholder. When does one random variable approach another? There are many ways we could define this concept and various interesting relationships between these ways.

Djalil Chafaï, About convergence of random varibles.

To discuss: metrics versus types of convergences. The magical world o a.s. convergence which has no metric. The role of probability spaces.