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A Dynamical Proof of Pisot's Theorem
Abstract We give a geometric proof of classical results that characterize Pisot numbers as algebraic λ > 1 for which there is x ≠ 0 with λ n x → 0 (mod 1) and identify such x as members of ℤ[λ –1 ]· ℤ[λ]* where ℤ[λ]* is the dual module …