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

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dc.contributor.authorGonzalvez, Irene
dc.contributor.authorMiranda, Alfredo
dc.contributor.authorRossi, Julio D.
dc.contributor.authorRuiz-Cases, Jorge
dc.date.accessioned2026-06-02T20:31:13Z
dc.date.issued2026
dc.description.abstractIn 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).
dc.description.bibliographicCitationGonzalvez, I., Miranda, A., Rossi, J. D., & Ruiz-Cases, J. (2025). A two-player zero-sum probabilistic game that approximates the mean curvature flow. Communications in Mathematics, Volume 34 (2026), Issue 2... https://doi.org/10.46298/cm.15764
dc.format.extent29 p.
dc.format.mediumapplication/pdf
dc.identifier.urihttps://repositorio.utdt.edu/handle/20.500.13098/14330
dc.languageeng
dc.publisherCommunications in Mathematics (e-ISSN 2336-1298)
dc.relation.ispartofCommunications in Mathematics (e-ISSN 2336-1298) 34 (2026), no. 2, Paper no. 1
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.licensehttps://creativecommons.org/licenses/by-sa/4.0/deed.es
dc.subjectMatemáticas
dc.subjectTeoría de Juegos
dc.subjectMathematics
dc.subjectGame Theory
dc.subject.keywordFlujo de curvatura media
dc.subject.keywordJuego de Suma cero para dos jugadores
dc.subject.keywordPrincipio de Programación Dinámica
dc.subject.keywordSolución de viscosidad
dc.subject.keywordMean curvature flow
dc.subject.keywordTwo-player zero-sum game
dc.subject.keywordDynamic Programming Principle
dc.subject.keywordViscosity solution
dc.titleA two-player zero-sum probabilistic game that approximates the mean curvature flow
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
organization.identifier.rorhttps://ror.org/04sxme922

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