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- W2810364037 abstract "In this paper we present recent progress on the Dirichlet forms associated with stochastic quantization problems obtained in Rockner et al. (J Funct Anal, 272(10):4263–4303, 2017, [23]), Rockner et al. (Commun Math Phys, 352(3):1061–1090, 2017, [24]), Zhu and Zhu (Dirichlet form associated with the (varPhi _3^4) model, 2017, [27]). In the two dimensional case we have obtained the equivalence of the two notions of solutions, the restricted Markov uniqueness and the uniqueness of martingale problem. In the three dimensional case we construct the Dirichlet form associated with the dynamical (varPhi ^4_3) model obtained in Catellier and Chouk (Paracontrolled distributions and the 3-dimensional stochastic quantization equation, [6]), Hairer (Invent Math, 198:269–504, 2014, [14]), Mourrat and Weber (Global well-posedness of the dynamic (varPhi ^4_3) model on the torus, [20]." @default.
- W2810364037 created "2018-07-10" @default.
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- W2810364037 date "2018-01-01" @default.
- W2810364037 modified "2023-10-14" @default.
- W2810364037 title "Recent Progress on the Dirichlet Forms Associated with Stochastic Quantization Problems" @default.
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- W2810364037 doi "https://doi.org/10.1007/978-3-319-74929-7_39" @default.
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