報告時間：2025年10月13日（星期一）16:00
報告地點：翡翠湖校區科教樓B座1711室
報 告 人：翟建梁 副教授
工作單位：中國科學技術大學
舉辦單位：數學學院
報告簡介：
The irreducibility is fundamental for the study of ergodicity of stochastic dynamical systems. The existing methods on the irreducibility of stochastic partial differential equations (SPDEs) and stochastic differential equations (SDEs) driven by pure jump noise are basically along the same lines as that for the Gaussian case, which are not particularly suitable for jump noise. As a result, restrictive conditions are usually placed on the driving jump noise. Basically the driving noises are additive type and more or less in the class of stable processes. In this paper, we develop a new and effective method to obtain the irreducibility of SPDEs and SDEs driven by multiplicative pure jump noise. The conditions placed on the coefficients and the driving noise are very mild, and in some sense they are necessary and sufficient.
報告人簡介：
翟建梁，中國科學技術大學副教授。2010年博士畢業于中國科學院數學與系統科學研究院，2010年進入北京大學做博士后研究工作。主要研究方向是Levy過程驅動的隨機偏微分方程。主要學術貢獻包括：純跳Levy過程驅動的隨機偏微分方程解的存在唯一性、大偏差原理、遍歷性等；平穩測度支撐的漸進行為等。已在 J. Eur. Math. Soc.、J. Funct. Anal.、J. Math. Pures Appl. 等國際重要雜志發表論文四十余篇。主持國家自然科學基金面上項目兩項。
