报告人：黄璐静（福建师范大学）

时 间：2026年10月11日10:00

地 点：海韵园行政楼C610

内容摘要:

Consider critical long-range percolation on $\mathds{Z}$, where an edge connects $i$ and $j$ independently with probability $1-\exp\{-\beta\int_i^{i+1}\int_j^{j+1}|u-v|^{-2}\d u\d v\}$ for $|i-j|>1$ for some fixed $\beta>0$ and with probability 1 for $|i-j|=1$.

We prove that the effective resistance has a polynomial growth and both the quenched and annealed spectral dimensions of the associated simple random walk are $2/(1+\delta)$. This is based on a joint work with Jian Ding and Zherui Fan.

个人简介：

黄璐静，福建师范大学教授，国家级高层次青年人才，主要研究方向是马氏过程与统计物理。在Communications on Pure and Applied Mathematics，Bernoulli， Stochastic Processes and Their Applications，SIAM Journal on Control and Optimization等期刊发表论文十余篇。

联系人：陈娴