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Results tagged with measure-theory
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user 39028
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
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Liouville's theorem: How to get an invariant measure?
Liouville's theorem states that the `natural' 2-from is preserved under the Hamiltonian flow. Apparently this leads to an invariant measure $\mu$ as follows
\begin{equation}
d\mu = \frac{d\sigma}{|| …
- 139