概率统计系列讲座九：报告题目：【Scaling Limits for Stochastic 2D Euler Equations in the White Noise Regime and in $L^2$-Regime】时间：2020年10月10日(星期六)上午 09:00地点：腾讯会议（会议ID：511 3889 6273）主讲：中国科学院数学与系统科学研究院，罗德军研究员主办：数学与信息学院参加对象：统计系老师与学生报告摘要：The stochastic 2D Euler equation on the torus, perturbed by multiplicative transport noise, is studied both in thewhite noise regime and in the more regular regime of L^2-solutions. Under suitable scaling of the noises, we show that thewhite noise solutions of the stochastic 2D Eul

概率统计系列讲座八：报告题目：【Singular HJB Equations with Applications to KPZ on the Real Line】时间：2020年10月7日 (星期三) 上午09:00地点：腾讯会议（会议ID：511 3889 6273）主讲：武汉大学教授，张希承主办：数学与信息学院参加对象：统计系老师与学生报告摘要：I will talk about the Hamilton-Jacobi Bellman equations with distribution valued coefficients, which is not well defined in the classical sense and shall be understood by using paracontrolled distribution method introduced by Gubinelli-Imkeller-Perkowski. By a new characterization of weighted H\older space and Zvonkins tra

10月2日概率统计系列讲座：报告题目：【Asymptotic Behavior for Multiscale Stochastic Systems： Averaging Principle and Normal Deviation】时间：2020年10月2日 (星期五)下午16:00地点：腾讯会议（会议ID：978 611 814）主讲：江苏师范大学教授，解龙杰主办：数学与信息学院参加对象：统计系老师与学生报告摘要：We study the asymptotic behavior for an inhomogeneous multiscale stochastic dynamical system with singular coefficients. Depending on the averaging regime and the homogenization regime, two strong convergences in the averaging principle of functional law of large numbers type are establish

10月2日概率统计系列讲座：报告题目：【SPDEs with Non-Lipschitz Coefficients and Nonhomogeneous Boundary Conditions】时间：2020年10月2日 (星期五) 下午14:00地点：腾讯会议（会议ID：978 611 814）主讲：北方民族大学教授，杨叙主办：数学与信息学院参加对象：统计系老师与学生报告摘要：In this talk we establish the strong existence, pathwise uniqueness and a comparison theorem to a stochastic partial differential equation driven by Gaussian colored noise with non-Lipschitz drift and diffusion coefficients with finite spatial domain and Dirichlet, Neumann or mixed nonhomogeneous random boun

10月2日概率统计系列讲座 ：报告题目：【Well-posedness of Stochastic 2D Hydrodynamics type Systems with Multiplicative Levy Noises】时间：2020年10月2日 (星期五) 上午10:00地点：腾讯会议（会议ID：978 611 814）主讲：中国科学技术大学教授，翟建梁主办：数学与信息学院参加对象：统计系老师与学生报告摘要：We establish the existence and uniqueness of solutions to an abstract nonlinear equation driven by a multiplicative noise of Levy type, which covers many hydrodynamical models including 2D Navier-Stokes equations, 2D MHD equations, the 2D Magnetic Bernard problem, and several Shell models o

10月2日概率统计系列讲座：报告题目：【Uniform Poincar\e Inequalities and Logarithmic Sobolev Inequalities for Mean Field Particle Systems】时间：2020年10月2日 (星期五) 上午08:00地点：腾讯会议（会议ID：978 611 814）主讲：武汉大学教授，刘伟主办：数学与信息学院参加对象：统计系老师与学生报告摘要：In this talk we show some explicit and sharp estimates of the spectral gap and the log-Sobolev constant for mean field particles system, uniform in the number of particles, when the confinement potential have many local minimums. Our uniform log-Sobolev inequality, based on Zegarlinski’s

报告题目【广义 Frobenius范畴与semi-derived Ringel-Hall代数】时间：2020年10月8日（周四）下午15: 30地点：旗山校区理工北楼601主讲：四川大学博士生导师，彭联刚教授主办：数学与信息学院、福建省分析数学及应用重点实验室、福建省应用数学中心（福建师范大学）参加对象：数学系老师和研究生报告摘要: 2013年，T. Bridgeland利用投射模的2-周期复形的 Ringel-Hall代数的局部化实现了量子包络代数的整体。之后，M. Gorsky分别用两种方法推广T. Bridgeland的构造来定义所谓的半导出 Hall代数，一种是用 Frobenius范畴，其构造与 T. Bridgeland的没有本质区别；另一种要求比较强的条件并且其构造不是很直接。注意到，他们的构造在2-周期复形的情形下都不能包含加权射影线上凝聚层范畴这类重要的遗传范畴，与卢明合作我们对任意遗传范畴的2-周期复形范畴定义了 modified Ringel-Hall代数。在本报告中，我们定义广义 Frobenius范畴与 semi-derived Ringel-Hall代数，将

概率统计系列讲座七：报告题目：【Reflected Brownian Motion with Measure-value Drifts】时间：2020年9月30日 (星期三)下午 15:00地点：腾讯会议（会议ID：511 3889 6273）主讲：英国曼切斯特大学教授，张土生主办：数学与信息学院参加对象：统计系老师与学生报告摘要：In this talk, I will present some recent results on the uniqueness and existence of weak solution to the reflected Brownian motion with measure-valued drifts. Furthermore, we obtain some Gaussian type estimates of the transition density function of the solution and we also provide solutions to the associated Neumann boundary value

概率统计系列讲座六：报告题目：【Potential Theory of Markov Processes with Jump Kernels Decaying at the Boundary】时间：2020年9月23日 (星期三)上午 09:00地点：腾讯会议（会议ID： 511 3889 6273）主讲：美国伊利诺伊大学教授，宋仁明主办：数学与信息学院参加对象：统计系老师与学生报告摘要：In this talk I will present some recent results on the potential theory of Markov processes with jump kernels decaying at the boundary of its state space $\mathbb R^d_+$, the upper half space of $\mathbb R^d$. The jump kernel is of the form $J^D(x, y)=|x-y|^{-d-\alpha}B(x, y)$, where $\alpha\in (0, 2)$

报告题目【Recent Studies on Sample Functions of Levy and Levy-Type Processes】时间：2020年9月19日 (星期六) 上午09:00地点：腾讯会议（ID 511 3889 6273）主讲：美国密西根州立大学教授，肖益民主办：数学与信息学院参加对象：统计系老师与学生报告摘要：Sample path properties of Levy processes and more general Markov processes have been studied for a long time. Many authors have studied their fractal properties and potential theory and established many important results. This talk will focus on recent progress in the studies of Levy and Levy-type processes.For Levy processes, w