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Article overview
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Freiman homomorphisms on sparse random sets | D. Conlon
; W. T. Gowers
; | Date: |
5 Mar 2016 | Abstract: | A result of Fiz Pontiveros shows that if $A$ is a random subset of
$mathbb{Z}_N$ where each element is chosen independently with probability
$N^{-1/2+o(1)}$, then with high probability every Freiman homomorphism defined
on $A$ can be extended to a Freiman homomorphism on the whole of
$mathbb{Z}_N$. In this paper we improve the bound to $CN^{-2/3}(log
N)^{1/3}$, which is best possible up to the constant factor. | Source: | arXiv, 1603.1734 | Services: | Forum | Review | PDF | Favorites |
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