In this talk, we will show various functional inequalities for mean-field interacting particle systems and McKean–Vlasov SDEs under non-globally dissipative conditions. These inequalities include Poincaré, transportation, logarithmic Sobolev, concentration, and covariance inequalities. They provide powerful tools for characterizing exponential ergodicity, concentration phenomena, and error analysis for stochastic particle algorithms.
刘伟，教授，国家高层次青年人才，现任武汉大学数学与统计学院副院长，兼任中国现场统计研究会常务理事，中国概率统计学会常务理事、副秘书长，湖北省统计学会副会长，《应用概率统计》编委。主要从事概率论与随机分析、随机算法等方向的研究。
学校主页