イベントカレンダー
- 日程
- 2025年1月10日（金）
- 時間
- 17:00～18:30
- 場所
- 東京科学大学 大岡山キャンパス本館２階２１３セミナー室
- 講師
- Francesco Salvarani 氏 (University of Pavia)
- お問い合わせ先
- 東京科学大学理学院数学事務室
jimu[at]math.titech.ac.jp （[at]は半角@に置き換えてください。）
- 講演タイトル
- Modeling the dynamics of the Rock-Paper-Scissors game: from kinetic theory to diffusion
- アブストラクト
- This seminar focuses on the mathematical modeling of the rock-paper-scissors game to describe interactions within large populations. Beginning with a kinetic framework, we analyze how pairwise interactions influence the overall dynamics of the system. We then study the transition to a nonlinear diffusion equation that captures the game's macroscopic behavior, emphasizing the emergence of self-similar solutions and long-term stabilization. Numerical simulations are presented to support the theoretical findings, demonstrating how the system evolves and stabilizes over time. The results described in this seminar have been obtained in collaboration with Marco Antonio Fontelos and Nastassia Pouradier-Duteil.
※ 詳細はこちら
更新日：2024.12.27
