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math.PR2026
Topological trapping in circular midpoint opinion dynamics
Annika Brockhaus, Wioletta M. Ruszel, Cristian Spitoni
We study a discrete-time asynchronous midpoint dynamics on the circle in which, at each step, a uniformly chosen neighboring pair moves to the midpoint along the shortest arc. Alth…
math.PR2026
Isoperimetric inequality for nonlocal bi-axial discrete perimeter
V. Jacquier, W. M. Ruszel, C. Spitoni
In the present manuscript we address and solve for the first time a nonlocal discrete isoperimetric problem. We consider indeed a generalization of the classical perimeter, what we…