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math.DS2013
Iterated functions and the Cantor set in one dimension
Benjamin Hoffman
In this paper we consider the long-term behavior of points in under iterations of continuous functions. We show that, given any Cantor set embedded in ${\mathbb…
math.NT2013
A note on triangulations of sum sets
Karoly J. Boroczky, Benjamin Hoffman
For finite sets A and B in the plane, we write A+B to denote the set of sums of the elements of A and B. In addition, we write tr(A) to denote the common number of triangles in any…