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math.DS2026
Ergodic Averages over Shrinking Sectors of
Alex Burgin, Christina Giannitsi
We study ergodic averages over Gaussian integers in shrinking angular sectors, which impose an increasingly restrictive directional relation between the real and imaginary coordina…
math.DS2026
Integer Cantor Sets: Arithmetic Combinatorial Properties
Alex Burgin, Anastasios Fragkos, Michael T. Lacey +2
Cantor sets of integers have a rich set of arithmetic combinatorial properties. We consider classical Cantor sets, with a base and a fixed set of allowed digits. For such sets, we…