Periodic points in towers of finite fields for polynomials associated to algebraic groups

Bianca Thompson; Michelle Manes

arxiv: 1301.6158 · v1 · pith:UHGWH55Fnew · submitted 2013-01-25 · 🧮 math.NT

Periodic points in towers of finite fields for polynomials associated to algebraic groups

Michelle Manes , Bianca Thompson This is my paper

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keywords algebraicassociatedfieldsfinitegroupsmapsperiodicpoints

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We find the limiting proportion of periodic points in towers of finite fields for polynomial maps associated to algebraic groups, namely pure power maps z^d and Chebyshev polynomials.

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Periodic points in towers of finite fields for polynomials associated to algebraic groups

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