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math.CA2010
Furstenberg sets for a fractal set of directions
Ursula Molter, Ezequiel Rela
In this note we study the behavior of the size of Furstenberg sets with respect to the size of the set of directions defining it. For any pair , we will say that a set…
math.CA2010
Small Furstenberg sets
Ursula Molter, Ezequiel Rela
For in , a subset of $\RR$ is called Furstenberg set of type or -set if for each direction in the unit circle there is a line segment in the di…