Fluctuation field of Stationary Hastings Levitov are log-correlated
报告人：Eviatar Procaccia（Technion）
时间：2024-11-11 15:30-16:30
地点：智华楼-王选报告厅
Abstract: Stationary Hastings Levitov (SHL) provides a good model for diffusion limited aggregation growing on a long fiber. Due to regularity properties of the conformal map attaching a slit to the upper half plane, no particle normalization is required to avoid particle size blowup, such as one obtains for the Hastings Levitov process growing on a disk. In this talk we will discuss a work in progress with Noam Berger (TUM) showing that the fluctuations of SHL around it's deterministic growth rate is log-correlated, and obtain bounds on the maxima of the field.
