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Recent results on the stochastic quantization of $\Phi^4_3$ model
【2016.9.19 4:30pm, N913】

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 2016-9-13 

  Colloquia & Seminars 

  Speaker

朱蓉禅教授(北京理工大学)

  Title

Recent results on the stochastic quantization of $\Phi^4_3$ model

  Time

4:30-5:30, 9月19日, 2016

  Venue

N913

  Abstract

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.

  Affiliation

 

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