On Unbounded Composition Operators in L2L^2-Spaces

Fundamental properties of unbounded composition operators in $L^2$-spaces are studied. Characterizations of normal and quasinormal composition operators are provided. Formally normal composition operators are shown to be normal. Composition operators generating Stieltjes moment sequences are completely characterized. The unbounded counterparts of the celebrated Lambert's characterizations of subnormality of bounded composition operators are shown to be false. Various illustrative examples are supplied

All-sky search of NAUTILUS data

A search for periodic gravitational-wave signals from isolated neutron stars in the NAUTILUS detector data is presented. We have analyzed half a year of data over the frequency band $$Hz, the spindown range$$ Hz/s and over the entire sky. We have divided the data into 2 day stretches and we have analyzed each stretch coherently using matched filtering. We have imposed a low threshold for the optimal detection statistic to obtain a set of candidates that are further examined for coincidences among various data stretches. For some candidates we have also investigated the change of the signal-to-noise ratio when we increase the observation time from two to four days. Our analysis has not revealed any gravitational-wave signals. Therefore we have imposed upper limits on the dimensionless gravitational-wave amplitude over the parameter space that we have searched. Depending on frequency, our upper limit ranges from $3.4 \times 10^{-23}$ to $1.3 \times 10^{-22}$. We have attempted a statistical verification of the hypotheses leading to our conclusions. We estimate that our upper limit is accurate to within 18%.Comment: LaTeX, 12 page

Applications of distance between probability distributions to gravitational wave data analysis

We present a definition of the distance between probability distributions. Our definition is based on the $L_1$ norm on space of probability measures. We compare our distance with the well-known Kullback-Leibler divergence and with the proper distance defined using the Fisher matrix as a metric on the parameter space. We consider using our notion of distance in several problems in gravitational wave data analysis: to place templates in the parameter space in searches for gravitational-wave signals, to assess quality of search templates, and to study the signal resolution.Comment: 18 pages, 5 figure

Magnetic state features of Mn1.4Fe0.6P0.5As0.5

Mossbauer spectroscopy in the temperature range between 4 K and 270 K was used to more clearly define the magnetic phase diagram of Mn2-xFexAs0.5P0.5. It is shown that antiferromagnetic and paramagnetic states coexist in the alloy Mn1.4Fe0.6As0.5P0.5 in the temperature range of 150 K < T < 160 K

Virgo calibration and reconstruction of the gravitational wave strain during VSR1

Virgo is a kilometer-length interferometer for gravitational waves detection located near Pisa. Its first science run, VSR1, occured from May to October 2007. The aims of the calibration are to measure the detector sensitivity and to reconstruct the time series of the gravitational wave strain h(t). The absolute length calibration is based on an original non-linear reconstruction of the differential arm length variations in free swinging Michelson configurations. It uses the laser wavelength as length standard. This method is used to calibrate the frequency dependent response of the Virgo mirror actuators and derive the detector in-loop response and sensitivity within ~5%. The principle of the strain reconstruction is highlighted and the h(t) systematic errors are estimated. A photon calibrator is used to check the sign of h(t). The reconstructed h(t) during VSR1 is valid from 10 Hz up to 10 kHz with systematic errors estimated to 6% in amplitude. The phase error is estimated to be 70 mrad below 1.9 kHz and 6 micro-seconds above.Comment: 8 pages, 8 figures, proceedings of Amaldi 8 conference, to be published in Journal of Physics Conference Series (JPCS). Second release: correct typo

Sensitivity to Gravitational Waves from Compact Binary Coalescences Achieved during LIGO's Fifth and Virgo's First Science Run

We summarize the sensitivity achieved by the LIGO and Virgo gravitational wave detectors for compact binary coalescence (CBC) searches during LIGO's fifth science run and Virgo's first science run. We present noise spectral density curves for each of the four detectors that operated during these science runs which are representative of the typical performance achieved by the detectors for CBC searches. These spectra are intended for release to the public as a summary of detector performance for CBC searches during these science runs.Comment: 12 pages, 5 figure

The search for gravitational waves

In this paper we briefly review the status and the perspectives of the experimental search of gravitational waves, focusing on the ground based interferometers. The current status of the running detectors and the plans to upgrade them are discussed

Serious adverse events reported in placebo randomised controlled trials of oral naltrexone: a systematic review and meta-analysis

Background Naltrexone is an opioid antagonist used in many different conditions, both licensed and unlicensed. It is used at widely varying doses from 3 - 250 mg. The aim of this review was to evaluate the safety of oral naltrexone by examining the risk of serious adverse events (SAEs) in randomised controlled trials (RCTs) of naltrexone compared to placebo. Methods A systematic search of Cochrane Central Register of Controlled Trials (CENTRAL), MEDLINE, EMBASE, other databases and clinical trials registries was undertaken up to March 2018. Parallel placebo-controlled RCTs longer than 4 weeks published after 1/1/2001, of oral naltrexone at any dose were selected. Any condition and age group were included, excluding only studies for opioid or ex-opioid users, due to possible opioid/opioid antagonist interactions. The systematic review used the guidance of the Cochrane Handbook throughout. Numerical data was independently extracted by two people and cross-checked. Risk of bias was assessed with the Cochrane Risk of Bias Tool. Meta-analyses were performed using Stata 15 and R, using random and fixed effects models throughout. Results Eighty-nine RCTs with 11194 participants were found, studying alcohol use disorders, various psychiatric disorders, impulse control disorders, other addictions, obesity, Crohn’s disease, fibromyalgia and cancers. Twenty-six studies (4,960 participants) recorded SAEs occurring by arm of study. There was no evidence of increased risk of SAEs for naltrexone compared to placebo, relative risk (RR) 0.84 (95% CI: 0.66 to 1.06). Sensitivity analyses pooling risk differences supported this conclusion (RD = -0.01 (-0.02, 0.00)) and subgroup analyses showed that results were consistent across different doses and disease groups. The quality of evidence for this outcome was judged high using the GRADE criteria. Conclusions Naltrexone does not appear to increase the risk of SAEs over placebo. These findings confirm the safety of naltrexone when used in licensed indications and encourage investments to undertake efficacy studies in unlicensed indications

Sensitivity to Gravitational Waves from Compact Binary Coalescences Achieved during LIGO's Fifth and Virgo's First Science Run

We summarize the sensitivity achieved by the LIGO and Virgo gravitational wave detectors for compact binary coalescence (CBC) searches during LIGO's fifth science run and Virgo's first science run. We present noise spectral density curves for each of the four detectors that operated during these science runs which are representative of the typical performance achieved by the detectors for CBC searches. These spectra are intended for release to the public as a summary of detector performance for CBC searches during these science runs