Skip to content
DraconiticResearch
Search Sources API
201,683 studies31 sourcesUpdated 43 min ago
PreprintarXiv licencearXiv

A Deterministic Game-Theoretic Approach to Convexity-Preserving Property and Finite-Time Extinction of Level Sets for Geometric Equations

  • Yousuke Saga
  • Kazuhiro Takimoto
Open at sourcePDFDOICite

Abstract

We consider the convexity-preserving property and finite-time extinction of level sets for quasilinear geometric equations using a game-theoretic approach introduced by Kohn and Serfaty. To construct the game whose value function approximates the viscosity solution, we use the approach introduced by Sato.

Related

  1. Extinction and Survival for a Generalized Contact Process with Deterministic Cures
    Nancy L. Garcia, Denis A. Luiz, Daniel M. Machado
    arXivPreprintCC BY 4.0Full textProbabilityarXiv
  2. Convexity, the spectrum of free Laplacians and geometric consequences: a free KLS bound
    Charles-Philippe Diez
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsProbabilityarXiv
  3. PAGR: Proof-Carrying Algebraic-Geometric Retrieval: A Quiver-, Provenance-, and Sheaf-Theoretic Framework for Grounded LLM Retrieval
    Xingting Wang, Min Wu
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  4. Reconstruction of Geometric and Structural Aspects of Undeciphered Messages by Information-theoretic Methods
    Hector Zenil, Abicumaran Uthamacumaran
    arXivPreprintarXiv licenceFull textGeneral mathematicsarXiv
  5. The Normalized Maximum Likelihood for Regular Non-Smooth Models: Measure-Theoretic Foundations and Geometric Sampling
    Trenton Lau, Gary P. T. Choi
    arXivPreprintarXiv licenceFull textStatisticsarXiv

Cite

BibTeXRIS
BibTeX
@misc{saga2026deterministic,
  title = {{A Deterministic Game-Theoretic Approach to Convexity-Preserving Property and Finite-Time Extinction of Level Sets for Geometric Equations}},
  author = {Yousuke Saga and Kazuhiro Takimoto},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34671},
  eprint = {2610.34671},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34671},
}
RIS
TY  - UNPB
TI  - A Deterministic Game-Theoretic Approach to Convexity-Preserving Property and Finite-Time Extinction of Level Sets for Geometric Equations
AU  - Yousuke Saga
AU  - Kazuhiro Takimoto
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.34671
UR  - https://arxiv.org/abs/2610.34671
AB  - We consider the convexity-preserving property and finite-time extinction of level sets for quasilinear geometric equations using a game-theoretic approach introduced by Kohn and Serfaty. To construct the game whose value function approximates the viscosity solution, we use the approach introduced by Sato.
ER  -