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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

8 votes
Accepted

Hausdorff dimension of a Cantor-like set

We can find Cantor-like sets of Hausdorff dimension arbitrarily close to $1$ which satisfy your property. Lemma: If a subset $S \subseteq \{1, 2, \dots, n\}$ of cardinality $|S| = m$ has no length-$3 …
Adam P. Goucher's user avatar
14 votes
Accepted

Which distributions can you sample if you can sample a Gaussian?

This is by no means a complete classification, although I'm surprised that no-one has mentioned that we can easily construct the most well-known continuous distributions from rational functions of $N( …
Adam P. Goucher's user avatar