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Chapitre D'ouvrage Année : 2017

Construction of $\Phi^4_3$ diagrams for pedestrians

Résumé

We aim to give a pedagogic and essentially self-contained presentation of the construction of various stochastic objects appearing in the dynamical $\Phi^4_3$ model. The construction presented here is based on the use of paraproducts. The emphasis is on describing the stochastic objects themselves rather than introducing a solution theory for the equation.

Dates et versions

hal-01728745 , version 1 (31-05-2019)

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Jean-Christophe Mourrat, Hendrik Weber, Weijun Xu. Construction of $\Phi^4_3$ diagrams for pedestrians. From Particle Systems to Partial Differential Equations, pp.1-46, 2017. ⟨hal-01728745⟩
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