I will be teaching a summer school course on $p$-adic electrostatics at the CIMPA-CIMAT Research School on $p$-adic Numbers, Ultrametric Analysis and Applications in Guanjuato, Mexico May 23-31, 2022.
We will cover the following topics. Notes are developed for each topic; these notes are necessarily more involved than what I will be able to lecture on in class. For many, parts of these notes will be review.
- Basics of Probability
- The $p$-adics and Related Concepts
- Introduction to Boltzmann Statistics
- $p$-adic Electrostatics
These lectures are based on the following paper, but provide a more complete background in the $\mathbb Z_p$ setting.