Probability Seminar——Branching interlacements and tree-indexed random walks in tori
报告人：Zhu Qingsan (Tel Aviv University)
地点：Room 1513, Sciences Building No. 1
Abstract: We introduce a model of branching interlacements which consists of a countable collection of infinite tree-indexed random walk trajectories on the lattice Z^d, for d>=5. We show that this model is the local limit of the tree-indexed random walk in a discrete torus, conditioned on the size proportional to the volume of the torus. In this talk, we will explain how to construct this model and briefly discuss the main idea in the proof of the local convergence.