Benjamin L. Jeffers

collaborators

3 papers

math.CA2022

Solutions of the Variational Equation for an nth Order Boundary Value Problem with an Integral Boundary Condition

Benjamin L. Jeffers, Jeffery W. Lyons

In this paper, we discuss differentiation of solutions to the boundary value problem $y^{(n)} = f(x, y, y^{'}, y^{''}, \ldots, y^{(n-1)}), \; a<x<b,\; y^{(i)}(x_j) = y_{ij},\; 0\le…

math.GR2022

Linearly Mismatched Free-by-Cyclic Groups are Asynchronously Automatic

Benjamin Gustafson, Benjamin L. Jeffers

We call the family of free-by-cyclic groups defined by $G = ⟨ a, t, b_{1}, b_{2}, \dots b_{k} ∣ a t = t a, b_{1}^{- 1} t b_{1} = a^{n_{1}} t, \dots b_{k}^{- 1} t b_{k} = a^{n_{k}} t ⟩$ for $n_…

math.GR2022

Structure of Cross-wired Lamplighter Groups

Benjamin L. Jeffers

We answer a question posed by Cornulier, Fisher, and Kashyap, proving that for a closed cocompact subgroup $Γ$ of $Isom (DL (n, n))$ not contained in $\text{Isom}^+(\te…