This is a part of GT MAP activities and Themetic semester on Dynamics.
There will be light refreshments through out the event. The seminars will be held at Skiles 006.
Prof. Martin Short and his student will present their research.
3:00PM - 3:45PM Prof. Martin Short will give a talk on "Modeling and predicting urban crime – How data assimilation helps bridge the gap between stochastic and continuous models."
3:45PM -- 4:00PM Break with Discussions
4:00PM - 4:25PM Tongzhou Chen will give the second talk on "Game Theoretical Model of Religious Group Evolution. "
4:25PM - 5PM Discussion of open problems stemming from the presentations.
Modeling and predicting urban crime – How data assimilation helps bridge the gap between stochastic and continuous models
Data assimilation is a powerful tool for combining mathematical models with real-world data to make better predictions and estimate the state and/or parameters of dynamical systems. In this talk I will give an overview of some work on models for predicting urban crime patterns, ranging from stochastic models to differential equations. I will then present some work on data assimilation techniques that have been developed and applied for this problem, so that these models can be joined with real data for purposes of model fitting and crime forecasting.
Second talk title]
Game Theoretical Model of Religious Group Evolution
Second talk abstract]
Religious groups produce collective goods. The group’s production is
increasing in members’ contributions. Religious services can be represented
by a unidimensional trait called "strictness", that dictates the minimum
contribution of members. Individuals may have preferences on religious
groups of certain strictness levels, but they only can switch to such group
if they've been sufficiently exposed to it previously. In this talk, we
present a model about the evolution of populations of religious affiliations
with different strictness levels and some analytical results of
Bio] Martin Short is an Assistant Professor in the Schools Mathematics at Georgia Institute of Technology. He received a PhD in Physics from the University of Arizona in 2006. After being CAM Assistant professor in Department of Mathematics at UCLA, he join GT in 2013. His current research involves the modeling of certain types of human activity that exhibit regular spatio- and/or temporal patterns, the role of advection in the evolution of aquatic microorganisms, and Growth and formation of stalactites and icicles.