The 2023 Fall School in Probability Ⅳ is part of the PKU Thematic Semester Program on Stochastics to celebrate the 110th anniversary of Mathematical Sciences at Peking University. 

Speaker：

Avelio Sepúlveda Donoso （Universidad de Chile）

Title：

Spatial Markov Property seen by the Gaussian free field.

Time：

12/11(Mon.), 12/13(Wed.), 13:00--15:00

Abstract:

In this mini-course, we will discuss how to generalize the Markov property when the time is a $d$-dimensional domain. To do this, we will work with the example of the Gaussian free field, the generalization of Brownian motion to $d$-dimensional time. We will examine which properties from the traditional one-dimensional scenario extend to a multi-dimensional setting, and in which case they fail.

Potential participants not affiliated with Peking University should register by 4pm, Thursday, Dec 7: please send an email to probability@math.pku.edu.cn with the following information: legal name, affiliation, ID card number (for Chinese citizens) or passport number (for non-Chinese) and a brief bio (with contact information of a reference -- only applicable for students).