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• W3014534868 abstract "The theory of regularity structures enables the definition of the following parabolic Anderson model in a very rough environment: $partial_{t} u_{t}(x) = frac12 Delta u_{t}(x) + u_{t}(x) , dot W_{t}(x)$, for $tinmathbb{R}_{+}$ and $xin mathbb{R}^{d}$, where $dot W_{t}(x)$ is a Gaussian noise whose space time covariance function is singular. In this rough context, we shall give some information about the moments of $u_{t}(x)$ when the stochastic heat equation is interpreted in the Skorohod as well as the Stratonovich sense. Of special interest is the critical case, for which one observes a blowup of moments for large times." @default.
• W3014534868 created "2020-04-10" @default.
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• W3014534868 date "2020-03-31" @default.
• W3014534868 modified "2023-10-16" @default.
• W3014534868 title "Moment estimates for some renormalized parabolic Anderson models" @default.
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• W3014534868 doi "https://doi.org/10.48550/arxiv.2003.14367" @default.
• W3014534868 hasPublicationYear "2020" @default.
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