Paracontrolled Distributions and the 3-dimensional Stochastic Quantization Equation

2013/10/25 by Catellier, Rémi, Chouk, Khalil · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.1310.6869

Abstract

We prove the existence and uniqueness of a local solution to the periodic renormalized Φ⁴₃ model of stochastic quantisation using the method of controlled distributions introduced recently by Imkeller, Gubinelli and Perkowski ("Paraproducts, rough paths and controlled distributions", arXiv:1210.2684)

Cited by

• Results of Fractional Rough Burgers equation in H^s space and its application
• Perturbative renormalisation of the Φ⁴_4-ε model via generalized Wick maps

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