Irene Gonzalvez ; Alfredo Miranda ; Julio D. Rossi ; Jorge Ruiz-Cases
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A two-player zero-sum probabilistic game that approximates the mean curvature flow
cm:15764 -
Communications in Mathematics,
July 23, 2025,
Volume 34 (2026), Issue 2 (Special issue: Latin American mathematics)
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https://doi.org/10.46298/cm.15764A two-player zero-sum probabilistic game that approximates the mean curvature flowArticle
Authors: Irene Gonzalvez ; Alfredo Miranda ; Julio D. Rossi ; Jorge Ruiz-Cases
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Irene 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).
arXiv admin note: text overlap with arXiv:2409.06855
Volume: Volume 34 (2026), Issue 2 (Special issue: Latin American mathematics)
Published on: July 23, 2025
Accepted on: June 23, 2025
Submitted on: May 28, 2025
Keywords: Analysis of PDEs, Differential Geometry, Probability, 53E10, 35D40, 35K65, 91A05