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math.CO2016
Uniformly de Bruijn sequences and symbolic Diophantine approximation on fractals
Lior Fishman, Keith Merrill, David Simmons
Intrinsic Diophantine approximation on fractals, such as the Cantor ternary set, was undoubtedly motivated by questions asked by K. Mahler (1984). One of the main goals of this pap…
math.CO2015
New examples of complete sets, with connections to a Diophantine theorem of Furstenberg
Vitaly Bergelson, David Simmons
A set is called if every sufficiently large integer can be written as the sum of distinct elements of . In this paper we present a new method fo…