Event Detail

Event Type: 
Graduate Student Summer Seminar
Tuesday, July 19, 2022 - 14:00 to 15:00
Kidder 280

Speaker Info

Local Speaker: 

We introduce Julia sets from classical complex dynamics and their analogues from p-adic dynamics. Each Julia set carries an invariant measure, and these measures can be realized as elements of an inner product space. The norm induced by this inner product gives a notion of arithmetic-dynamical size. We use this inner product to show that distinct Julia sets can't be too similar.