コーヒーミーティング過去ログ
2020-05-08
Next-generation method to derive the basic reproduction number of infectious disease models
入谷 亮介 (理化学研究所 数理創造プログラム (iTHEMS) 研究員)
In response to the recent, increasing interest in epidemiology, I will talk about the mathematical framework to derive the basic reproductive number for compartmental disease models: the Next-Generation Theorem (NGT). In general, whether diseases spread or not is determined by the leading eigenvalue (spectral radius) of a disease-free steady state(s). For an SI-model, for instance, the conventional wisdom is that the instability of (S, I) =(S_0, 0) around the ODE for the model is determined by the real part of the eigenvalue. As the number of infected-class compartments grows, however, it becomes increasingly difficult to determine the spectral radius of the associated matrix. NGT partially resolves this issue by (i) reducing the size of the matrix or dimension, (ii) making the matrix relatively sparse, and (iii) clarifying the biological meaning. I will talk about this theorem per se, though do not give its proof, with some illustrative applications (one of which is actually unsolved and therefore a quiz for you all!) as well as why graph-theory and stochastic analyses may be of great use in the discipline of epidemiology. The purpose of this talk is to facilitate future interactions between biologists including me and theoreticians who are interested in graph theory, matrix calculus, and/or dynamical systems.
2020-04-24
Quantum physicists now study non-Hermiticity
濱崎 立資 (理化学研究所 数理創造プログラム (iTHEMS) 上級研究員 / 理化学研究所 開拓研究本部 (CPR) 濱崎非平衡量子統計力学理研白眉研究チーム 理研白眉研究チームリーダー)
2020-04-17
On COVID-19 spreading
パスカル・ネドン (理化学研究所 仁科加速器科学研究センター (RNC) 量子ハドロン物理研究室 専任研究員)
2020-04-03
Multi-meesenger Search for sources of high energy neutrino
Haoning He (ABBL)
2020-03-27
Mathematical models of epidemics
三好 建正 (理化学研究所 数理創造プログラム (iTHEMS) 副プログラムディレクター / 理化学研究所 計算科学研究センター (R-CCS) データ同化研究チーム チームリーダー)
2020-02-21
Motivic homotopy theory and modular representation theory
Shane Kelly (Tokyo Institute of Technology)
2020-02-14
On the geodesics of regular polyhedra
児玉 大樹 (理化学研究所 数理創造プログラム (iTHEMS) 客員研究員 / 東北大学 材料科学高等研究所 (AIMR) 助教)
2020-01-31
Report on RIKEN iTHEMS - Berkeley Math Visiting Scholar Program (Lunch Meeting)
三上 渓太 (理化学研究所 数理創造プログラム (iTHEMS) 研究員)
2020-01-24
Algorithms for point set processes
スクロツキ マーティン (理化学研究所 数理創造プログラム (iTHEMS) 客員研究員 / Fellow, German Academic Scholarship Foundation, Germany)
2020-01-17
Balancing Thermodynamics and Kinetics to Achieve Maximum Rates in Catalysis
Hideshi Ooka (CSRS)
2020-01-10
Spintronics: Spin current propagation or susceptibility?
Gen Tatara (CEMS/CPR)
2019-11-15
The photospheric origin of the Yonetoku relation in gamma-ray bursts
伊藤 裕貴 (理化学研究所 数理創造プログラム (iTHEMS) 研究員 / 理化学研究所 開拓研究本部 (CPR) 長瀧天体ビッグバン研究室 研究員)
2019-11-01
The Efimov Effect
パスカル・ネドン (理化学研究所 仁科加速器科学研究センター (RNC) 量子ハドロン物理研究室 専任研究員)
2019-10-25
On integrability of quantum field theories
Ivan Kostov (Saclay)