Differential Equations and Nonlinear Analysis Seminar: Alexander Reznikov, Florida State University, Discrete minimization problems on non-rectifiable sets
ZoomWe survey the known results concerning the minimal Riesz energy on sufficiently smooth sets, and present some new results on fractal sets, which are the key examples of non-rectifiable sets. In particular, we will talk about the connection of these problems to ergodic theory and probability theory: the key step in our proofs is applying…