Talks
2024
[Invited] "マルコフ連鎖によるハミルトン・ヤコビ・ベルマン方程式の近似解析 (in Japanese)", 待ち行列研究部会, Waseda University, May 18, 2024.
[Poster] "Markov chain approximation for Nonlocal diffusion models", French Japanese conference on Probability and Interactions@IHES, IHES, March 6-8, 2024.
[Invited] "マルコフ連鎖を用いた発展方程式の近似解析とその応用 (in Japanese)", 第41回非線形発展方程式セミナー@KUE, Kyoto University of Education, February 7, 2024.
Yamada, Y. and Watanabe, I. "ミツバチの分蜂モデルと最適戦略 (in Japanese)", The queueing symposium, stochastic models and their applications, Kouchizyo Hall, January 18, 2024.
Watanabe, I. and Kumagai, T. "Markov Chain Approximation for Hamilton-Jacobi-Bellman Equation with Reflecting Boundary", The queueing symposium, stochastic models and their applications, Kouchizyo Hall, January 17, 2024.
2023
[Invited] "High density limit for nonlocal cross-diffusion model with self-diffusion", Workshop on Reaction-Diffusion Equations and Related Stochastic Topics, Waseda University, November 24, 2023.
"Application of Markov Chain Approximation Method to Nonlinear Diffusion Equation", The 55th ISCIE International Symposium on Stochastic Systems Theory and Its Applications (SSS '23), Tokyo Denki University, November 18, 2023.
[Invited] "High density limit for nonlocal cross-diffusion model with self-diffusion", RIMS Conference: Multidisciplinary research on nonlinear phenomena: modeling, analysis and applications, Maskawa Hall, November 9, 2023.
"Markov Chain Approximation for Hamilton-Jacobi-Bellman Equation with Absorbing Boundary", Mathematical Society of Japan Autumn Meeting 2023, Tohoku University, September 22, 2023.
"Deterministic Limit of the Stochastic Model of Nonlocal Cross-Diffusion", 第44回発展方程式若手セミナー, Kyoto University of Education, September 5, 2023.
"Deterministic Limit of the Stochastic Model of Nonlocal Cross-Diffusion", 2023年度確率論ヤングサマーセミナー, Kyoto Sangyo University, August 29, 2023.
"Continuum Limit of Nonlocal Diffusion on Inhomogeneous Networks", ICIAM 2023, Waseda University, August 22, 2023.
"High-density limit of controlled density-dependent Markov processes", Mathematical Society of Japan Spring Meeting, Chuo University, March 17, 2023.
"Controlled density-dependent Markov processes - viscosity solution approach", The queueing symposium, stochastic models and their applications, Waseda university, January 18, 2023.
2022
"High-density limit for controlled density-dependent Markov process", Evolution Equations and Applications, Tokyo University of Science, December 26, 2022.
[Invited] "マルコフ連鎖を用いた微分方程式の近似モデルの提案とその極限解析 (in Japanese)", 待ち行列研究部会, Tokyo institute of Technology, November 19, 2022.
"Application of Markov chain approximation method to nonlinear reaction-diffusion equations", Mathematical Society of Japan Autumn Meeting 2022, Hokkaido University, September 16, 2022.
"Application of Markov chain approximation method to nonlinear reaction-diffusion equations", Society for Industrial and Applied Mathematics Annual Meeting, Online, September 10, 2022.
Watanabe, I. and Toyoizumi, H. "Comparison between the Deterministic and Stochastic Models of Nonlocal Diffusion", EURO2022, Aalto University, July 05, 2022.
[Poster] "Continuum Limit of the Stochastic Model of Nonlocal Diffusion on Inhomogeneous Networks", Stochastic Network Conference 2022, Cornell University, June 20, 2022.
[Invited] "Deterministic Limit of the Stochastic Model of Nonlocal Cross-Diffusion", 京都駅前セミナー, April 15, 2022.
"Deterministic limit of the stochastic model of nonlocal cross-diffusion", Mathematical Society of Japan Spring Meeting.
2021
"Deterministic and stochastic models of nonlocal diffusion on inhomogeneous network", Mathematical Society of Japan Spring Meeting.
"Continuum Limit of the Stochastic Model of Nonlocal Diffusion on Inhomogeneous Networks", The queueing symposium, stochastic models and their applications, Online, January 25, 2021.
2020
Ishii, R., Watanabe, I. and Toyoizumi, H. "混雑を考慮した鉄道通勤行動のmean field game モデル (in Japanese)", The 26th Symposium on Traffic Flow and Self-driven Particles, Online, December 11, 2020.
"Limit Theorems for a Space-Homogeneous Nonlocal Diffusion with Nonlinear Reactions", Mathematical Society of Japan Autumn Meeting 2020.
"Deterministic and Stochastic Models of Nonlocal Diffusion on Inhomogeneous Networks", Society for Industrial and Applied Mathematics Annual Meeting, Online, September 10, 2020.
Watanabe, I. and Toyoizumi, H. "Central Limit Theorem for Data-Diffusion with Linear Reactions", Mathematical Society of Japan Spring Meeting 2019.
Watanabe, I. and Toyoizumi, H. "Central Limit Theorem for Data-Diffusion with Linear Reactions", The queueing symposium, stochastic models and their applications, Kanagawa Institute of Technology, January 22, 2020.
2019
"Difference of the deterministic and stochastic models for data-diffusion", Mathematical Society of Japan Autumn Meeting, Kanazawa University, September 17, 2019.
"Comparison of the Deterministic and Stochastic Models of Data-Diffusion", Society for Industrial and Applied Mathematics Annual Meeting, Tokyo University, September 3, 2019.
Watanabe, I. and Toyoizumi, H. "大数の法則を用いたトーラス上の非線形データ拡散モデル (in Japanese)", The queueing symposium, stochastic models and their applications, Waseda University, January 24, 2019.