Freiman homomorphisms on sparse random sets

Name: Work Video:
Duration: 3 min 30 s
Description: A result of Fiz Pontiveros shows that if A is a random subset of ZN 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 ZN. In this paper, we improve the bound to CN−2/3(logN)1/3, which is best possible up to the constant factor.
David Conlon; W. T. Gowers
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