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math.CA2019
Cartesian Products Avoiding Patterns
Jacob Denson
The pattern avoidance problem seeks to construct a set with large fractal dimension that avoids a prescribed pattern, such as three term arithmetic progressions, or more general pa…
math.CA2019
Large Sets Avoiding Rough Patterns
Jacob Denson, Malabika Pramanik, Joshua Zahl
The pattern avoidance problem seeks to construct a set with large dimension that avoids a prescribed pattern. Examples of such patterns include three-term a…