中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
报告人：朱蓉禅 副教授 （北京理工大学）
题 目：Recent results on the stochastic quantization of $\Phi^4_3$ model
时 间：2016.09.19 (星期一), 16:30--17:30
地 点：数学院南楼N913室
Abstarct:
In this talk I will talk about the lattice approximations to the dynamical $\Phi^4_3$ model by paracontrolled distributions. We prove that the solutions to the lattice systems converge to the solution to the dynamical $\Phi_3^4$ model in probability, locally uniformly in time. Since the dynamical $\Phi_3^4$ model is not well defined in the classical sense and renormalisation has to be performed in order to define the non-linear term, a corresponding suitable drift term is added in the stochastic equations for the lattice systems. Moreover, this can be applied to the construction of the Dirichlet form associated with the dynamical $\Phi^4_3$ model.
