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arXiv · 2108.10777

Dynamical moduli spaces and polynomial endomorphisms of configurations

Talia Blum·John R. Doyle·Trevor Hyde·Colby Kelln·Henry Talbott·Max Weinreich
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Abstract

A portrait is a combinatorial model for a discrete dynamical system on a finite set. We study the geometry of portrait moduli spaces, whose points correspond to equivalence classes of point configurations on the affine line for which there exist polynomials realizing the dynamics of a given portrait. We present results and pose questions inspired by a large-scale computational survey of intersections of portrait moduli spaces for polynomials in low degree.

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Talia Blum, John R. Doyle, Trevor Hyde, Colby Kelln, Henry Talbott, Max Weinreich. 2021-08-24. Dynamical moduli spaces and polynomial endomorphisms of configurations. https://arxiv.org/abs/2108.10777

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