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Relevant bibliographies by topics / Game-theoretic p-laplacian

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Academic literature on the topic 'Game-theoretic p-laplacian'

Author: Grafiati

Published: 10 March 2023

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Journal articles on the topic "Game-theoretic p-laplacian"

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Razani, Abdolrahman. "Game-theoretic p-Laplace operator involving the gradient." Miskolc Mathematical Notes 23, no. 2 (2022): 867. http://dx.doi.org/10.18514/mmn.2022.3467.

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The game-theoretic p-Laplacian operator is a version of classical variational p-Laplacian which is in connection with stochastic games called Tug-of-War with noise. The existence of positive singular and Holder continuous solutions of the game-theoretic p-Laplace operator involving the gradient in a small C2 perturbation of the unit ball in Rn are proved. Finally, a more case problem is introduced.

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ELMOATAZ, A., X. DESQUESNES, and M. TOUTAIN. "On the game p-Laplacian on weighted graphs with applications in image processing and data clustering." European Journal of Applied Mathematics 28, no. 6 (July 3, 2017): 922–48. http://dx.doi.org/10.1017/s0956792517000122.

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Game-theoretic p-Laplacian or normalized p-Laplacian operator is a version of classical variational p-Laplacian which was introduced recently in connection with stochastic games called Tug-of-War with noise (Peres et al. 2008, Tug-of-war with noise: A game-theoretic view of the p-laplacian. Duke Mathematical Journal145(1), 91–120). In this paper, we propose an adaptation and generalization of this operator on weighted graphs for 1 ≤ p ≤ ∞. This adaptation leads to a partial difference operator which is a combination between 1-Laplace, infinity-Laplace and 2-Laplace operators on graphs. Then we consider the Dirichlet problem associated to this operator and we prove the uniqueness and existence of the solution. We show that the solution leads to an iterative non-local average operator on graphs. Finally, we propose to use this operator as a unified framework for interpolation problems in signal processing on graphs, such as image processing and machine learning.

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Berti, Diego, and Rolando Magnanini. "Asymptotics for the resolvent equation associated to the game-theoretic p-laplacian." Applicable Analysis 98, no. 10 (April 27, 2018): 1827–42. http://dx.doi.org/10.1080/00036811.2018.1466283.

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4

Peres, Yuval, and Scott Sheffield. "Tug-of-war with noise: A game-theoretic view of the $p$ -Laplacian." Duke Mathematical Journal 145, no. 1 (October 2008): 91–120. http://dx.doi.org/10.1215/00127094-2008-048.

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Kawohl, Bernd, Stefan Krӧmer, and Jannis Kurtz. "Radial eigenfunctions for the game-theoretic $p$-Laplacian on a ball." Differential and Integral Equations 27, no. 7/8 (July 1, 2014). http://dx.doi.org/10.57262/die/1399395747.

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Dissertations / Theses on the topic "Game-theoretic p-laplacian"

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berti, diego. "Asymptotic analysis of solutions related to the game-theoretic p-laplacian." Doctoral thesis, 2019. http://hdl.handle.net/2158/1151352.

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Book chapters on the topic "Game-theoretic p-laplacian"

1

Berti, Diego. "Short-Time Asymptotics for Game-Theoretic p-Laplacian and Pucci Operators." In Trends in Mathematics, 413–21. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-87502-2_42.

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