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Evolution of the empirical mean of a list as we remove elements proportional to their value

A simple mean field calculation suggests to look at the solution to $$ \partial_t Q_t(k) = -\frac{k Q_t(k)}{\sum_\ell \ell Q_t(\ell)},\qquad Q_0 = P. $$ For all $n$, one would then expect a good ...
Martin Hairer's user avatar
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Evolution of the empirical mean of a list as we remove elements proportional to their value

I doubt this is an easy analysis, as the result is going to be affected by the distribution used for $P(k)$. I doubt there is a general form, but empirically there may be a well-behaved example. In ...
Henry's user avatar
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