A two-player zero-sum probabilistic game that approximates the mean curvature flow
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911502437449728 |
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| author | Gonzalvez, Irene Miranda, Alfredo Rossi, Julio D. Ruiz-Cases, Jorge |
| author_facet | Gonzalvez, Irene Miranda, Alfredo Rossi, Julio D. Ruiz-Cases, Jorge |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_20559 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A two-player zero-sum probabilistic game that approximates the mean curvature flow Gonzalvez, Irene Miranda, Alfredo Rossi, Julio D. Ruiz-Cases, Jorge Analysis of PDEs Differential Geometry Probability 53E10, 35D40, 35K65, 91A05 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). |
| title | A two-player zero-sum probabilistic game that approximates the mean curvature flow |
| topic | Analysis of PDEs Differential Geometry Probability 53E10, 35D40, 35K65, 91A05 |
| url | https://arxiv.org/abs/2505.20559 |