Date & Time: 15 September 2025 from 11:30 - 1:00 PM (IST) in Madhava Lecture Hall
19 September 2025 from 9:30 - 11:00 AM (IST) and 11:30 - 1:00 PM (IST) in Feynman Lecture Hall
Outline: (3 lectures of 90 minutes each)
Lecture 1: Background and motivation for Interacting Particle Systems (IPS) on Euclidean Lattice in dimensions bigger than or equal to 1. Phase transitions and critical phenomena. Key questions and core tools.
Lecture 2: Stochastic Ising Model.
Lecture 3: Voter Model & Contact Process.
IPS on two classes of random graphs will be considered: Configuration Models and Erdös-Rényi Random Graphs.
Goals:
– Sketch what is known and not known about IPS on RG.
– Highlight the role of sparse versus dense graphs.
– Exhibit the relevant time scales for critical phenomena and identify how these depend on the size of the graph.
– List some open problems and indicate some lines of future research.
The content of this mini-course is a personal snapshot of an interesting area of research that is developing rapidly.
Zoom link: https://us02web.zoom.us/j/88670406480
Organisers: Siva Athreya and Vishal Vasan