Title : Local limit theorem of the Brownian motion on simplicial trees

Speaker : Soongi Hong (POSTECH)

Abstract: In this talk, I will discuss the local limit theorem for Brownian motion on a tree where all edges have length 1, with a discrete group acting isometrically and geometrically on the tree. The local limit theorem describes the asymptotic behavior of the transition probability density (heat kernel) as time tends to infinity. Specifically, I will focus on the uniform mixing property of the discrete geodesic flow under this assumption and explain how this property is utilized in the proof of the theorem. 

참가 Zoom 회의 
https://us06web.zoom.us/j/83540915663?pwd=Eu4WYFDWUxun53COoBaQmYNjwa5LaS.1 

회의 ID: 835 4091 5663 
암호: set2024