Quasihomogeneity of isolated singularities and logarithmic cohomology

We characterize quasihomogeneity of isolated singularities by the injectivity of the map induced by the first differential of the logarithmic differential complex in the top local cohomology supported in the singular point.Comment: 5 page

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

Cointegration : an introduction to the literature

An overview of the cointegration approach to econometric specification and estimation is provided. A non-technical approach is adopted, and is intended to serve as an entry into this important new literature for the reader with no background knowledge of the subject but with some limited knowledge of econometrics. Particular emphases are given to the rationale for using cointegration techniques in the estimation of economic relationships, to providing intuitive explanations of the concepts and techniques, and to demonstrating their applications in practice. Reference is made throughout to other articles which explain particular methods or recent developments more formally and fully than is possible here. Finally, a simple application of cointegration techniques to the estimation of the consumption function is provided