Jorge Ruiz-Cases — Neckpinchhttps://neckpinch.com/authors/jorge-ruiz-cases/New arXiv papers by Jorge Ruiz-Cases, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT A two-player zero-sum probabilistic game that approximates the mean curvature flowhttps://neckpinch.com/papers/2505.20559/arxiv:2505.20559Mon, 26 May 2025 00:00:00 GMTIrene Gonzalvez, Alfredo Miranda, Julio D. Rossi, Jorge Ruiz-Cases — In this paper we introduce a new two-player zero-sum game whose value function approximates the level set formulation for the geometric evolution by mean curvature of a hypersurface. In our approach the game is played with symmetric rules for the two players and probability theory is involved (the game is not deterministic).Mean curvature flowWeak & singular flows