3 papers
math.AT2026
Maximal compatibility of disklike -transfer systems
David DeMark, Michael A. Hill, Yigal Kamel +4
Transfer systems are a combinatorial model for -operads, which encode commutative structures in equivariant homotopy theory. Blumberg--Hill and Chan gave criteria for w…
math.NT2019
Eventually stable quadratic polynomials over
David DeMark, Wade Hindes, Rafe Jones +3
We study the number of irreducible factors (over ) of the th iterate of a polynomial of the form for rational . When the number of such factors…
math.NT2016
Non-Archimedean Hénon maps, attractors, and horseshoes
Kenneth Allen, David DeMark, Clayton Petsche
We study the dynamics of the Hénon map defined over complete, locally compact non-Archimedean fields of odd residue characteristic. We establish basic properties of its one-sided a…