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].
Citation
Rémi Catellier. Khalil Chouk. "Paracontrolled distributions and the 3-dimensional stochastic quantization equation." Ann. Probab. 46 (5) 2621 - 2679, September 2018. https://doi.org/10.1214/17-AOP1235
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