学术报告：2026.09.02 - 河海大学 - 陶凯

东南大学数学学院邀请专家申请表

报告人 陶凯 单位 河海大学

报告题目

Large deviation estimation: from transfer matrix to Green

function.

报告时间

2026.9.2

9：30-10：30

地点 数学学院 706-3

邀请人 徐新冬

报告摘要

In this lecture, we mainly present the research progress of

large-deviation estimates for quasi-periodic difference operators.

The talk is divided into two parts. We first introduce operators on

\(\mathbb{Z}\) arising from dynamical-system contexts,

focusing on the theoretical foundations, general development

history, and key proof techniques for large-deviation estimates of

transfer matrices. In the second part, we emphasize applications

of large-deviation estimates to Green’s functions. In particular,

we discuss how the theory evolves step-by-step from operators

with dynamical-system structures to those without such

structures, together with the core proof strategies involved.

报 告 人

简介

陶凯,男,河海大学理学院数学系副教授. 博士毕业于南京大学

数学系,目前主要从事离散哈密顿算子的 Lyapunov 指数与谱

性质的研究. 已主持国家自然科学基金项目两项, 国家自然

科学基金重点项目子课题一项, 获得中国博士后面上项目一

等 资 助 , 在 Journal of Differential Equations, Journal of

Spectral Theory, Journal of Math. Phy., Discrete and Continuous

Dynamical Systems 等 SCI 杂志发表论文十余篇.