Explicit bounds on eigenfunctions and spectral functions on manifolds hyperbolic near a point

We derive explicit bounds for the remainder term in the local Weyl law for locally hyperbolic manifolds, we also give the estimates of the derivative of this remainder. We use these to obtain explicit bounds for the C^k-norms of the L^2-normalised eigenfunctions in the case spectrum of the Laplacian is discrete, e.g. for closed Riemannian manifolds. We also derive bounds for the local heat trace. Our estimates are purely local and therefore also hold for any manifold at points near which the metric is locally hyperbolic.Comment: 23 pages, 2 figure

Bounds on eigenfunctions and spectral functions on manifolds of negative curvature

In this dissertation we study the Laplace operator acting on functions on a smooth, compact Riemannian manifold. Our approach is based on the study of the spectrum of the aforementioned operator. The main objects of our interest are the counting function of the Laplacian and its Riesz means. We discuss the asymptotics of aforementioned functions when the argument approaches infinity

Cross-validation of active and passive microwave snowfall products over the continental United States

Surface snowfall rate estimates from the Global Precipitation Measurement (GPM) mission’sCoreObservatorysensors and theCloudSatradar are compared to those from the Multi-Radar Multi-Sensor (MRMS) radarcomposite product over the continental United States during the period from November 2014 to September 2020. Theanalysis includes the Dual-Frequency Precipitation Radar (DPR) retrieval and its single-frequency counterparts, the GPMCombined Radar Radiometer Algorithm (CORRA), theCloudSatSnow Profile product (2C-SNOW-PROFILE), and twopassive microwave retrievals, i.e., the Goddard Profiling algorithm (GPROF) and the Snow Retrieval Algorithm for GMI(SLALOM). The 2C-SNOW retrieval has the highest Heidke skill score (HSS) for detecting snowfall among the productsanalyzed. SLALOM ranks second; it outperforms GPROF and the other GPM algorithms, all detecting only 30% of thesnow events. Since SLALOM is trained with 2C-SNOW, it suggests that the optimal use of the information content in theGMI observations critically depends on the precipitation training dataset. All the retrievals underestimate snowfall ratesby a factor of 2 compared to MRMS. Large discrepancies (RMSE of 0.7–1.5 mm h21) between spaceborne and ground-based snowfall rate estimates are attributed to the complexity of the ice scattering properties and to the limitations of theremote sensing systems: the DPR instrument has low sensitivity, while the radiometric measurements are affected by theconfounding effects of the background surface emissivity and of the emission of supercooled liquid droplet layers

First observations of G-band radar Doppler spectra

The first Doppler spectra ever acquired by an atmospheric radar at 200 GHz (G-band) are presented. The observations were taken during a light precipitation event in May (rain rates <2 mm hr−1) at Chilbolton Observatory, UK, with coincident Ka-band and W-band Doppler radar measurements. The collected rain spectra agree with Mie theory predictions: at G-band they show significant reductions in the spectral power return—as compared to theoretical Rayleigh scattering—corresponding to high Doppler velocities (i.e., large raindrops) with the presence of multiple peaks and “Mie notches” in correspondence to the maxima and minima of the raindrop backscattering cross sections. The first two G-band Mie troughs correspond to smaller velocities/sizes than the first W-band Mie notch. These features offered by G-band radars pave the way toward applying, in rain, Mie notch vertical wind retrievals and multifrequency drop size distribution microphysical retrievals to smaller rain rates and smaller characteristic sizes than ever before

Managing Projects with an Agile Mindset (Kamil)

editorial reviewedProject managers in drug development are the driving force behind the coordination of efforts. This book provides a practical reference for project managers in the pharmaceutical and biotech drug development industry, with the goal of assisting in creating an efficient and effective team structure and environment. The text details the role of project managers at each stage of drug development, the key interfaces that the PM will need to work closely with, and essential tools of the trade including frequently used techniques and methodologies. This book is useful for both entry-level and advanced-level PMs, as well as non-project managers from other functions

Research Seminar dealing with new approaches to Project Management post Covid Pandemic

Research seminar targeting Master Students about both academic and practitioners perspectives on project management in the Pharma industry

PROJECT MANAGEMENT IN THE PHARMACEUTICAL SECTOR: EVOLUTION & FUTURE RESEARCH OPPORTUNITIES

peer reviewedThe paper seeks to investigate how project management has evolved over the period 1990 – 2021, leveraging a Systematic Literature Review (SLR) to analyze academic works to determine areas of insight, future research and key findings on the evolution of project management within the pharmaceutical sector. This paper aims to explore academic literature on project studies as applied to a specific sector, particularly as project management methodologies have evolved over time in the pharmaceutical sector. This topic is of particular interest in light of the COVID-19 pandemic with emerging innovations in drug development and recent calls for more type 3 research following emancipatory interests. The implications for academia is that the paper can contribute to the gap in structured analysis as it relates to the pharmaceutical sector, and point out of the challenges and broad assumptions within general project studies and position opportunities for the formulation of pragmatic and contextualized ways forward as applied to a specific industry, while taking into consideration the nuances of the pharmaceutical sector