A two-player zero-sum probabilistic game that approximates the mean curvature flow
Analysis of PDEs
2026-03-11 v3 Differential Geometry
Probability
Abstract
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).
Keywords
Cite
@article{arxiv.2505.20559,
title = {A two-player zero-sum probabilistic game that approximates the mean curvature flow},
author = {Irene Gonzalvez and Alfredo Miranda and Julio D. Rossi and Jorge Ruiz-Cases},
journal= {arXiv preprint arXiv:2505.20559},
year = {2026}
}
Comments
arXiv admin note: text overlap with arXiv:2409.06855