报告题目：蒋继发 Uniform Large Deviation Principles with Applications to the Limiting Measures of Random Dynamical Systems

报告题目：Uniform Large Deviation Principles with Applications to the Limiting Measures of Random Dynamical Systems

报告人：蒋继发教授（上海师范大学）

时间：9月6日10:00

地点：纯水楼301

报告摘要： This talk will present a new criterion on uniform large deviation principle (ULAP) for stochastic ordinary differential equations (SODEs) via Lyapunov function, which roughly says SODEs admit ULAP if their solutions do not blow up and greatly extend Freidlin and Wentzell’s. Under the nondegenerate noises satisfying our ULAP conditions, we prove that Freidlin and Wentzell’s results on concentration of limiting measure still hold and get rid of the concentrations of limiting measures on repellers and saddles. Using our ULAP we show how to compute the transiting difficult matrix for quasi-potential system, which precisely gives limiting measure and the leading terms of transiting probability and time between limit sets. For stochastic second order equation, we will prove that the limiting measure will concentrated on stable limit cycle and

equilibrium.

This is a joint work with Dr. Wang Jian and Prof. Zhai Jianliang and Zhang Tusheng.

邀请人: 张裕烽