The Multiscale Analysis, Modeling and Simulation, Waseda University will hold a special seminar titled “Scaling limits in the stochastic individual based model of adaptive dynamics: From the law of large numbers to metastability” by Prof. Dr. Anton Bovier on April 22, 2024, and April 24, 2024. We would like to introduce this opportunity and look forward to your participation.
Title
Scaling limits in the stochastic individual based model of adaptive dynamics: From the law of large numbers to metastability
Abstract
The so-called stochastic individual based model of adaptive dynamics describes the time evolution of heterogeneous populations that evolve under the key evolutionary mechanisms: birth, death, competition, heredity and mutation. There are three key scaling parameters in this model: population size K, mutation rate μ, and mutation step size δ. In these lectures I will explain how by different choices of taking limits in these parameters, an amazing variety of asymptotic processes arise on different time scales. These capture on the qualitative scale several key features of biological evolution taking place on a hierarchy of time scales.
Dates (Japan Time)
April 22(Monday) 16:00-18:00
April 24(Wednesday) 16:00-18:00
Lecturer
Prof. Dr. Anton Bovier (Rheinische Friedrich-Wilhelms-Universität Bonn)
Prof. Dr. Anton Bovier
Venue
Conference room 1, 1st Floor, 55N Bldg, Waseda University, Nishi-Waseda Campus (Access)/ Online via Zoom
Language
English
Audience
Researchers, Students
Open to the public through Zoom
Registration
Registration is required.
Please register here
Inquiries about lecture content
Takashi KUMAGAI (Professor, Faculty of Science and Engineering, Waseda University)
t-kumagai [at] waseda.jp
