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A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source

Foundations of reasoning with uncertainty via real-valued logics. [PDF]

Proc Natl Acad Sci U S A
Fagin R, Riegel R, Gray A.
europepmc +1 more source

Biomarkers of Drug‐Induced Kidney Injury: Use in Clinical Trials and Recent Examples of Impact on Drug Development

Clinical Pharmacology &Therapeutics, EarlyView.
This manuscript describes the scope of implementation and impact of a regulatory agency‐qualified panel of six urine biomarkers on drug development, the process for which was conducted and funded by the Critical Path Institute, the Foundation for the National Institutes of Health, and the United States Food and Drug Administration.
Tanja S. Zabka +7 more
wiley +1 more source

Elucidating White Matter Contributions to the Cognitive Architecture of Affective Prosody Recognition: Evidence from Right Hemisphere Stroke. [PDF]