We study continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as probabilistic graphical models. In 2011, Burdzy and Pal proposed a continuous version of graphical models indexed by graphs wit...Loe edasi...
Based on lectures the author gave as part of the U. of Chicago Research Experiences for Undergraduates program in 2020, this book discusses aspects of objects that arise in models in probability and statistical mechanics, focusing on discrete mod...Loe edasi...
We study continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as probabilistic graphical models. In 2011, Burdzy and Pal proposed a continuous version of graphical models indexed by graphs wit...Loe edasi...
Seven lectures delve into recent results in the two areas of mathematics. They cover Schramm-Loewner evolution and other conformally invariant objects, noise sensitivity and percolation, scaling limits of random trees and planar maps, the conformal i...Loe edasi...
