Analysis seminar: Alexey Tochin

Speaker: Alexey Tochin, PhD student, UiB 

Title:   Gaussian free field and Schramm-Loewner evolution 

Abstract: This is a continuation of the talk about Gaussian free field presented in Geilo. We begin with reminding  the definition and the basic properties. Then we see how the zero level line of the approximation of Gaussian free field generates the same random law as the one from the Scramm-Loewner evolution (O. Schramm and S. Sheffield 2005). We continue with the Markov property of the Gaussian free field to illustrate that fact. In the end the so-called Ward identities will be discussed.