- Color Changes in the Potts Model
- Project Year:
2019
- REU Student (s):
Adam Jamil | Rutgers University-New Brunswick NJ
| Tony Zeng | Yale University CT
- Student 1 Institution:
Rutgers University-New Brunswick
- Student 2 Institution:
Yale University
- Project Mentor:
Bhargav Narayanan
- Project Mentor Area:
Mathematics
- Project Abstract:
We studied the Glauber Dynamics for the ferromagnetic Potts Model. We attempt to prove that the initial coloring of all blue has highest probability of ending all blue for any fixed number of updates. For two colors, a solution is provided. For three colors, we prove the result for a restricted class of graphs, and disprove the existence of a monotone coupling for many other graphs.
