Dynamical moduli spaces and polynomial endomorphisms of configurations
Algebraic Geometry
2022-12-07 v1 Dynamical Systems
Number Theory
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.
Cite
@article{arxiv.2108.10777,
title = {Dynamical moduli spaces and polynomial endomorphisms of configurations},
author = {Talia Blum and John R. Doyle and Trevor Hyde and Colby Kelln and Henry Talbott and Max Weinreich},
journal= {arXiv preprint arXiv:2108.10777},
year = {2022}
}
Comments
26 pages, comments welcome!