‎We study $R$-groups for $p$-adic inner forms of quasi-split special unitary groups‎. ‎We prove Arthur's conjecture‎, ‎the isomorphism between the Knapp-Stein $R$-group and the Langlands-Arthur $R$-group‎, ‎for quasi-split special unitary groups and their inner forms‎. ‎Furthermore‎, ‎we investigate the invariance of the Knapp-Stein $R$-group within $L$-packets and between inner forms‎. ‎This w...

We present a certain geometrical interpretation of the natural numbers, where these numbers appear as joint products of 5and 3-multiples located at specified positions in a revolving chamber. Numbers without factors 2, 3 or 5 appear at eight such positions, and any prime number larger than 7 manifests at one of these eight positions after a specified amount of rotations of the chamber. Our appr...

An important task in computational statistics and machine learning is to approximate a posterior distribution p(x) with an empirical measure supported on a set of representative points {xi}i=1. This paper focuses on methods where the selection of points is essentially deterministic, with an emphasis on achieving accurate approximation when n is small. To this end, we present Stein Points. The i...

a Department of Marine Organic Biogeochemistry, NIOZ Royal Netherlands Institute for Sea Research, PO Box 59, 1790 AB Den Burg, Netherlands b Department of Geosciences, University of Massachusetts Amherst, 233 Morrill Science Center, 611 North Pleasant St., Amherst, MA 01002, USA c Faculty of Geosciences, University of Bremen, Klagenfurter Strasse, 28359 Bremen, Germany d MARUM Center for Marin...

Financial Disclosure(s): The author(s) have no proprietary or commercial interest in any materials discussed in this article. Financial support received from the National Eye Institute K23 Mentored Clinician Scientist Award (1K23EY019511, to J.D.S.) and a Research to Prevent Blindness “Physician Scientist” Award. Author Contributions: Conception and design: Elam, Blachley, Stein Data collection...

Christoph Söller,1,2,* Offir Cohen,3,4 Brian J. Smith,4 Ian A. Walmsley,4 and Christine Silberhorn1,2 1Max Planck Institute for the Science of Light, Günther-Scharowsky-Strasse 1, D-91058 Erlangen, Germany 2Department of Physics, University of Paderborn, Warburger Strasse 100, D-33098 Paderborn, Germany 3Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA 4C...

Department of Physics, Western Michigan University, Kalamazoo, Michigan 49008, USA 2 Lawrence Berkeley National Laboratory, Berkeley, CA, USA. Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Strasse 9, D-48149 Münster, Germany Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin/Dahlem, Germany Max-Born-Institut für Nichtlin...