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2015

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We demonstrate how connections between graph theory and Diophantine approximation can be used in conjunction to give simple and accessible proofs of seemingly difficult results in both subjects.

We investigate the question of whether or not the orbit of a point in A/Q, under the natural action of a subset Σ ⊆ Q, is dense in A/Q. We prove that if the set Σ is a multiplicative semigroup of Q × which contains at least two multiplicatively independent elements, one of which is an integer, then the orbit Σα of any point α with irrational real coordinate… (More)

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