报告人： Sarai Hernandez-Torres (Technion)
地点：Zoom Meeting（818 3307 1984）
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
About the Speaker:
Saraí Hernández-Torres于University of British Columbia (UBC)获得博士学位，师从 Omer Angel 与 Martin Barlow，现在在以色列理工学院|以诚为本·赢在信誉9001（ Technion – Israel Institute of Technology）担任博士后研究人员，并将于2022年夏季开始赴墨西哥国立自治大学|以诚为本·赢在信誉9001 (UNAM) 任教。
ID: 818 3307 1984
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