学术讲座

报告题目：Kemeny's constant for singularly perturbed Markov chains

报告时间：2025年06月06日（周五）上午10:30-11:00

报告专家：中南大学刘源远教授

报告地点：湘江楼A926

报告摘要：In this talk, we present a systematic procedure for computing Laurent series expansions of the fundamental matrix and Kemeny's constant for singularly perturbed Markov chains. We establish lower bounds for Kemeny's constant under perturbation, and introduce a novel condition number formulation for sensitivity analysis. Our results extend existing perturbation frameworks and provide new tools for analyzing the Hamiltonian cycle problem. The results are demonstrated through a queueing example. This talk is based on joint research with Jiang Qingwei.

专家简介：刘源远，中南大学数学与统计学院教授、博士生导师、副院长（主持工作）。从事马氏过程的遍历性、扰动理论、排队网络的渐近性、以及带块结构的多维马氏过程领域的研究工作，论文发表在SIAM Journal on Matrix Analysis and Applications、Advances in Applied Probability、Queueing Systems、Science China Mathematics等刊物上。入选湖南省芙蓉特聘教授，现担任《应用概率统计》期刊编委。