Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 2: The Physics Program for DUNE at LBNF

The Physics Program for the Deep Underground Neutrino Experiment (DUNE) at the Fermilab Long-Baseline Neutrino Facility (LBNF) is described

Highly-parallelized simulation of a pixelated LArTPC on a GPU

The rapid development of general-purpose computing on graphics processing units (GPGPU) is allowing the implementation of highly-parallelized Monte Carlo simulation chains for particle physics experiments. This technique is particularly suitable for the simulation of a pixelated charge readout for time projection chambers, given the large number of channels that this technology employs. Here we present the first implementation of a full microphysical simulator of a liquid argon time projection chamber (LArTPC) equipped with light readout and pixelated charge readout, developed for the DUNE Near Detector. The software is implemented with an end-to-end set of GPU-optimized algorithms. The algorithms have been written in Python and translated into CUDA kernels using Numba, a just-in-time compiler for a subset of Python and NumPy instructions. The GPU implementation achieves a speed up of four orders of magnitude compared with the equivalent CPU version. The simulation of the current induced on 10^3 pixels takes around 1 ms on the GPU, compared with approximately 10 s on the CPU. The results of the simulation are compared against data from a pixel-readout LArTPC prototype

The amalgam spaces W(Lp(x),?{pn}) and boundedness of hardy-littlewood maximal operators

Industrial Partners9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013 -- 5 August 2013 through 9 August 2013 --Let Lq(x)(?) be variable exponent Lebesgue space and ?{qn} be discrete analog of this space. In this work we define the amalgam spaces W(Lp(x),Lq(x)) and W(Lp(x), ?{qn}), and discuss some basic properties of these spaces. Since the global components Lq(x)(?) and ?{qn} are not translation invariant, these spaces are not a Wiener amalgam space. But we show that there are similar properties of these spaces to the Wiener amalgam spaces. We also show that there is a variable exponent q(x) such that the sequence space ?{qn} is the discrete space of Lq(x)(?). By using this result we prove that W(Lp(x), ?{pn}) = Lp(x)(?). We also study the frame expansion in Lp(x)(?). At the end of this work we prove that the Hardy-Littlewood maximal operator from W(Ls(x), ?{tn}) into W(Lu(x), ?{vn}) is bounded under some assumptions. © 2015 Springer International Publishing Switzerland