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arXiv · 2505.20559

A two-player zero-sum probabilistic game that approximates the mean curvature flow

Irene Gonzalvez·Alfredo Miranda·Julio D. Rossi·Jorge Ruiz-Cases
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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).

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Irene Gonzalvez, Alfredo Miranda, Julio D. Rossi, Jorge Ruiz-Cases. 2025-05-26. A two-player zero-sum probabilistic game that approximates the mean curvature flow. https://doi.org/10.46298/cm.15764

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