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- W4319792247 abstract "We prove that product-free sets of the free group over a finite alphabet have maximum density $1/2$ with respect to the natural measure that assigns total weight one to each set of irreducible words of a given size. This confirms a conjecture of Leader, Letzter, Narayanan and Walters. In more general terms, we actually prove that strongly $k$-product-free sets have maximum density $1/k$ in terms of the said measure." @default.
- W4319792247 created "2023-02-11" @default.
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- W4319792247 date "2023-02-07" @default.
- W4319792247 modified "2023-09-30" @default.
- W4319792247 title "Product-free sets in the free group" @default.
- W4319792247 doi "https://doi.org/10.48550/arxiv.2302.03748" @default.
- W4319792247 hasPublicationYear "2023" @default.
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