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math.NT2021
Wandering points for the Mahler measure
Paul Fili, Lukas Pottmeyer, Mingming Zhang
Mahler's measure defines a dynamical system on the algebraic numbers. In this paper, we study the problem of which number fields have points which wander under the iteration of Mah…
math.NT2019★ 4 cited
On the behavior of Mahler's measure under iteration
Paul Fili, Lukas Pottmeyer, Mingming Zhang
For an algebraic number we denote by the Mahler measure of . As is again an algebraic number (indeed, an algebraic integer), is a self-map on $\over…