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math.CA2018
Geometric properties of extremal sets for the dimension comparison in Carnot groups of step 2
Laura Venieri
In Carnot groups of step 2 we consider sets having maximal or minimal possible homogeneous Hausdorff dimension compared to their Euclidean one: in the first case we prove that they…
math.CO2018★ 2 cited
A note on expansion in prime fields
Tuomas Orponen, Laura Venieri
Let , and . We prove that if are subsets of a prime field , and , then there exists a sum of the…