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- W2949878032 abstract "Consider the which starts with $Nge 3$ distinct points on ${mathbb R}^d$, and fix a positive integer~$K<N$. Of the total $N$ points keep those $N-K$ which minimize the energy (defined as the sum of all pairwise distances squared) amongst all the possible subsets of size $N-K$, and then replace the removed points by $K$ i.i.d. points sampled according to some fixed distribution $zeta$. Repeat this ad infinitum. We obtain various quite non-restrictive conditions under which the set of points converges to a certain limit. This is a very substantial generalization of the Keynesian beauty contest process studied by Grinfeld, Volkov and Wade, where $K=1$ and the distribution $zeta$ was uniform on the unit cube." @default.
- W2949878032 created "2019-06-27" @default.
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- W2949878032 date "2017-03-16" @default.
- W2949878032 modified "2023-09-25" @default.
- W2949878032 title "Jante's law process" @default.
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