Simulation Projects
This page collects some short write-ups of current and recent simulation projects connected to my research interests, with the goal of advertising opportunities to undergraduate students interested in stochastic simulation projects at Purdue. The plan is to add more write-ups of old material over time. It also serves as a starting point for students who want to learn about universality and the basics of the KPZ class.
The introductory pages below begin with classical examples of universality and then move to random growth models such as first-passage and last-passage percolation. The later pages describe exploratory projects connected to these topics.
Start Here
If you are new to these topics, begin with the universality page and then continue to the KPZ page. Together they introduce what universality means and how first-passage and last-passage percolation arise as basic examples in the KPZ class.
This material above is partially based upon work supported by the Simons Foundation Grant MPS-TSM-00012155 and the National Science Foundation under Grant No. DMS-2125961. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation or the Simons Foundation.