Paracontrolled distributions and the 3-dimensional stochastic quantization equation

Rémi Catellier, Khalil Chouk

Type: Article

Publication Date: 2018-08-24

Citations: 123

DOI: https://doi.org/10.1214/17-aop1235

Abstract

We prove the existence and uniqueness of a local in time solution to the periodic $\Phi^{4}_{3}$ model of stochastic quantisation using the method of paracontrolled distributions introduced recently by M. Gubinelli, P. Imkeller and N. Perkowski in [Forum Math., Pi 3 (2015) e6].

Locations

The Annals of Probability - View - PDF
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View

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