Title: Electrostatic skeletons
Speaker: Koushik Ramachandran (ISI, Bangalore)
Date: 24 June 2015
Let P be the equilibrium potential of a compact set K in R^n. An electrostatic skeleton of K is a positive measure such that the closed support S of has connected complement and empty interior, and the Newtonian (or logarithmic, when n = 2) potential of is equal to P near infinity. We prove the existence and uniqueness of an electrostatic skeleton for any simplex. – This message has been scanned for viruses and dangerous content by MailScanner, and is believed to be clean.