Probability Seminar——Continuity of the time constant of finitary random interlacements
报告人：Sarai Hernandez-Torres (Technion)
时间：2022-04-18 14:00-15:00
地点：Zoom
Abstract: Finitary random interlacements (FRI) is a Poisson point process of geometrically killed random walks on Z^d, with d ≥ 3. A parameter u > 0 modulates the intensity of the point process, while T > 0 is the expected path length. The model has gained attention because, although it lacks global monotonicity on T, FRI (u, T) exhibits a phase transition.
In the supercritical regime, FRI (u, T) has a unique infinite cluster on which we consider its chemical distance (or graph distance). This talk focuses on the associated time constant. The time constant is a normalized limit of the chemical distance between the origin and a sequence of vertices growing in a fixed direction, defining a deterministic norm. Our main result is its continuity (as a function of the parameters u and T).
This work is joint with Zhenhao Cai, Eviatar Procaccia, Ron Rosenthal and Yuan Zhang.
Zoom Information
ID: 818 3307 1984
Password: 344065
Link: https://us02web.zoom.us/j/81833071984?pwd=d2JwaEZHZW9qckZ3R1FHeUoyZGNWQT09
