Almost sure scattering for the energy-critical NLS with radial data below H1(R4) Killip, Rowan Murphy, Jason Visan, Monica We prove almost sure global existence and scattering for the energy-critical nonlinear Schrödinger equation with randomized spherically symmetric initial data in 𝐻𝑠⁡(ℝ4) with 5/6<𝑠<1. We were inspired to consider this problem by the recent work of Dodson–Lührmann–Mendelson, which treated the analogous problem for the energy-critical wave equation. Informa UK Limited 2019 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22066 Killip R, Murphy J, Vişan M. Almost sure scattering for the energy-critical NLS with radial data below H1(R4). <i>Communications in Partial Differential Equations</i>. 2019;44(1):51-71. doi:<a href="https://doi.org/10.1080/03605302.2018.1541904">10.1080/03605302.2018.1541904</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1080/03605302.2018.1541904 info:eu-repo/semantics/altIdentifier/issn/0360-5302 info:eu-repo/semantics/altIdentifier/e-issn/1532-4133 info:eu-repo/semantics/altIdentifier/arxiv/1707.09051 info:eu-repo/semantics/openAccess