Robert Fraser

activity

20132026

most citedLarge Sets Avoiding Patterns

15 citations · 22 across the 8 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.CA2016

Large subsets of Local Fields not containing Configurations

Robert Fraser

For certain families of functions ${f_{q}}$ mapping $K^{n v_{q}} \to K^{m}$ , where $K$ is a complete, nonarchimedean local field, we find a set $E$ of large Hausdorff dimension with the…

math.CA2016★ 15 cited

Large Sets Avoiding Patterns

Robert Fraser, Malabika Pramanik

We construct subsets of Euclidean space of large Hausdorff dimension and full Minkowski dimension that do not contain nontrivial patterns described by the zero sets of functions. T…