J. Vast

collaborators

3 papers

math.GR2026

Fractal anti-tori

Pierre-Emmanuel Caprace, Justin Vast

Let $Γ$ be a group acting properly and cocompactly on the product of two trees $T_{1}$ and $T_{2}$ . An anti-torus is a non-periodic flat plane in $T_{1} \times T_{2}$ that is the convex hu…

math.GR2026

Ascending chains of irreducible lattices, bi-reversible automata and affine arithmetic groups

Pierre-Emmanuel Caprace, Justin Vast

For each $n \geq 2$ , we construct an ascending chain of irreducible lattices in the product of $n$ homogeneous trees. Moreover, for each pair of integers $m_{1}, m_{2} \geq 1$ , we defi…

math.CO2026

On the self-similarity of rational power series with matrix coefficients

Pierre-Emmanuel Caprace, Justin Vast

Let $p$ be a prime, let $d \geq 1$ be an integer and $A$ be the algebra of square matrices of size $d$ over the field of order $p$ . Let $P, Q \in A [x_{1}, \dots x_{n}]$ be polynomials…