3 problems

Consider walks in the three-quadrant cone starting at $(p,0)$ with $p>0$ (equivalently, at $(0,q)$), and restrict to models with a finite group. Trotignon–Raschel conjecture. The g…

For a non-singular step set $S$, let ${\sf C}(x,y;t)$ be the generating function for walks in the three-quadrant cone and let ${\sf Q}(x,y;t)$ be the corresponding quarter-plane ge…

Let $S$ be one of the $74$ non-singular step sets for walks in the three-quadrant cone, and let ${\sf C}(x,y;t)$ be its generating function. Let ${\sf Q}(x,y;t)$ denote the corresp…