Unitarization of the Horocyclic Radon Transform on Homogeneous Trees

Following previous work in the continuous setup, we construct the unitarization of the horocyclic Radon transform on a homogeneous tree X and we show that it intertwines the quasi regular representations of the group of isometries of X on the tree itself and on the space of horocycles.Comment: 16 pages, 3 figure

Harmonic Bergman projectors on homogeneous trees

In this paper we investigate some properties of the harmonic Bergman spaces $\mathcal A^p(\sigma)$ on a $q$-homogeneous tree, where $q\geq 2$, $1\leq p<\infty$, and $\sigma$ is a finite measure on the tree with radial decreasing density, hence nondoubling. These spaces were introduced by J.~Cohen, F.~Colonna, M.~Picardello and D.~Singman. When $p=2$ they are reproducing kernel Hilbert spaces and we compute explicitely their reproducing kernel. We then study the boundedness properties of the Bergman projector on $L^p(\sigma)$ for $1<p<\infty$ and their weak type (1,1) boundedness for radially exponentially decreasing measures on the tree. The weak type (1,1) boundedness is a consequence of the fact that the Bergman kernel satisfies an appropriate integral H\"ormander's condition

Horocyclic harmonic Bergman spaces on homogeneous trees

The main focus of this contribution is on the harmonic Bergman spaces $\mathcal{B}_{\alpha}^{p}$ on the $q$-homogeneous tree $\mathfrak{X}_q$ endowed with a family of measures $\sigma_\alpha$ that are constant on the horocycles tangent to a fixed boundary point and turn out to be doubling with respect to the corresponding horocyclic Gromov distance. A central role is played by the reproducing kernel Hilbert space $\mathcal{B}_{\alpha}^{2}$ for which we find a natural orthonormal basis and formulae for the kernel. We also consider the atomic Hardy space and the bounded mean oscillation space. Appealing to an adaptation of Calder\'on-Zygmund theory and to standard boundedness results for integral operators on $L^p_\alpha$ spaces with H\"ormander-type kernels, we determine the boundedness properties of the Bergman projection

P4-based Telemetry Processing for Fast Soft Failure Recovery in Packet-Optical Networks

A novel framework for in-network P4 processing of distributed multi-layer telemetry data is presented, enabling effective soft failure detection and recovery strategies enforced in just a few microseconds

Cluster-based Method for Eavesdropping Identification and Localization in Optical Links

We propose a cluster-based method to detect and locate eavesdropping events in optical line systems characterized by small power losses. Our findings indicate that detecting such subtle losses from eavesdropping can be accomplished solely through optical performance monitoring (OPM) data collected at the receiver. On the other hand, the localization of such events can be effectively achieved by leveraging in-line OPM data.Comment: 4 pages, 6 figures, Asia Communications and Photonics Conference (ACP) 202

Temperature behavior of radiochromic poly(vinyl-alcohol)&#8211;glutaraldehyde Fricke gel dosimeters in practice

The use of synthetic gel matrices prepared with poly(vinyl-alcohol) (PVA) cross-linked by glutaraldehyde (GTA) contributed to enhance the interest toward radiochromic Fricke gel (FG) dosimeters. As it occurs in several chemical dosimeters, the response of PVA-GTA Fricke gels could be affected by temperature. Aim of this work is to study the dependence of the dosimetric properties of PVA-GTA Fricke gel dosimeters both on the irradiation temperature and on temperature changes possibly occurring between the irradiation and readout phases. Such effects were investigated by means of magnetic resonance imaging (MRI) and optical absorbance (OA) measurements. The results did not reveal any significant dependence of the sensitivity of the dosimeters on the irradiation temperature in the investigated interval 20\ub0C-35\ub0C. By contrast, auto-oxidation phenomena confirmed to be a critical aspect for FG dosimeters, also in case of use of PVA matrix. The extent such phenomena, that might impair the accuracy of dose estimations, proved to critically depend on the temperature at which FG dosimeters are subjected before and after irradiation, as well as on the duration of possible thermal-stress

prospective study of clinical neurophysiological and urodynamic findings in multiple sclerosis patients undergoing percutaneous transluminal venous angioplasty

Abstract Objective Verify whether Percutaneous Transluminal Angioplasty (PTA) may affect neural conduction properties in Multiple Sclerosis (MS) patients, thereby modifying patients' disability, with prospective neurophysiological, urodynamic, clinical and subjective well-being evaluations. Methods In 55 out of 72 consecutively screened MS patients, the following procedures were carried out before (T0), at 2–6 months (T1) and at 6–15 months (T2) after a diagnostic phlebography, eventually followed by the PTA intervention if chronic cerebrospinal venous insufficiency (CCSVI) was diagnosed: clinical/objective evaluation (Expanded Disability Status Scale, EDSS), ratings of subjective well-being, evaluation of urodynamic functions and multimodal EPs (visual, acoustic, upper and lower limbs somatosensory and motor evoked potentials). Results The number of dropouts was relatively high, and a complete set of neurophysiological and clinical data remained available for 37 patients (19 for urological investigations). The subjective well-being score significantly increased at T1 and returned close to basal values at T2, but their degree of objective disability did not change. Nevertheless, global EP-scores (indexing the impairment in conductivity of central pathways in multiple functional domains) significantly increased from T0 (7.9 ± 6.0) to T1 (9.2 ± 6.3) and from T0 to T2 (9.8 ± 6.3), but not from T1 and T2 (p > 0.05). Neurogenic urological lower tract dysfunctions slightly increased throughout the study. Conclusions The PTA intervention did not induce significant changes in disability in the present cohort of MS patients, in line with recent evidence of clinical inefficacy of this procedure. Significance Absence of multimodal neurophysiological and functional testing changes in the first 15 months following PTA suggests that conduction properties of neural pathways are unaffected by PTA. Current findings suggest that the short-lived (2–6 months), post-PTA, beneficial effect on subjective well-being measures experienced by MS patients is likely related to a placebo effect

[60]Fullerene\u2013porphyrin [n]pseudorotaxanes: self-assembly, photophysics and third-order NLO response

By means of different spectroscopic techniques, we investigate a novel series of porphyrin derivatives (H2TPP), connected to dibenzo-24-crown-8 (DB24C8) moieties, which undergo self-assembly with different methano[60]fullerene units bearing dibenzylammonium (DBA) cations. The formation of both [2] and [3]pseudorotaxanes was proved by means of NMR, UV-Vis-NIR absorption and emission spectroscopies. With the support of molecular modelling studies, spectroscopic investigations showed the presence of a secondary interaction between the porphyrin and the C60 chromophores leading to the formation of different types of \u2018\u2018face-to-face\u2019\u2019 assemblies. Remarkably, investigations of the non-linear optical response of these supramolecular systems showed that individual porphyrin and fullerene derivatives exhibit significantly lower second hyperpolarizability values when compared to their pseudorotaxanes functionalised counterparts. This proves that this class of supramolecular materials possesses relevant NLO response, which strongly depends on the structural arrangement of the chromophores in solution. Introductio

Study protocol: The DOse REsponse Multicentre International collaborative initiative (DO-RE-MI)

INTRODUCTION: Current practices for renal replacement therapy in intensive care units (ICUs) remain poorly defined. The DOse REsponse Multicentre International collaborative initiative (DO-RE-MI) will address the issue of how the different modes of renal replacement therapy are currently chosen and performed. Here, we describe the study protocol, which was approved by the Scientific and Steering Committees. METHODS: DO-RE-MI is an observational, multicentre study conducted in ICUs. The primary end-point will be the delivered dose of dialysis, which will be compared with ICU mortality, 28-day mortality, hospital mortality, ICU length of stay and number of days of mechanical ventilation. The secondary end-point will be the haemodynamic response to renal replacement therapy, expressed as percentage reduction in noradrenaline (norepinephrine) requirement. Based on the the sample analysis calculation, at least 162 patients must be recruited. Anonymized patient data will be entered online in electronic case report forms and uploaded to an internet website. Each participating centre will have 2 months to become acquainted with the electronic case report forms. After this period official recruitment will begin. Patient data belong to the respective centre, which may use the database for its own needs. However, all centres have agreed to participate in a joint effort to achieve the sample size needed for statistical analysis. CONCLUSION: The study will hopefully help to collect useful information on the current practice of renal replacement therapy in ICUs. It will also provide a centre-based collection of data that will be useful for monitoring all aspects of extracorporeal support, such as incidence, frequency, and duration

310 A new proposal for the clinical classification of vulvar lichen sclerosus: an observational prospective study

Introduction/Background Vulvar Lichen Sclerosus (VLS) is a chronic inflammatory disorder which commonly affects the female anogenital epithelium, leading to scarring, anatomical distortions, impaired sexual function, decreased quality of life and increased vulvar cancer risk. An agreement to measure VLS severity in a standard way is yet to be defined and, to our knowledge, no standardized clinical classification of anatomical modifications in VLS has been validated. The purpose of this study was to prepare a clinical classification for VLS aimed at defining the morphological patterns of this condition, while stratifying them into grades. The classification is intended to provide a homogeneous and reproducible description of the different features of this disease. It also serves as an important tool for the evaluation of the course of the disease over time, response to treatment, and for comparison of clinical studies. Methodology A board of seven specialists with expertise in vulvar pathology were asked to outline the anatomical criteria for the definition of VLS severity (phimosis of the clitoris, resorption of the labia minora, involvement of the inter-labial sulcus, and narrowing of the vulvar introitus), identifying five grades to be used to build-up of a score model. The classification was validated by 13 physicians upon pictures of 137 consecutive patients. Each physician individually assigned a grade to each case, according to the abovementioned criteria. Inter-rater agreement among evaluators was analysed by means of ICC (Intraclass Correlation Coefficient). Intra-observer reproducibility and inter-observer concordance in vivo were analysed by means of Kappa index. Results This study provides a new classification of VLS, based on defined anatomical criteria and graded into mutually exclusive progressive classes (table 1). The ICC analysis showed a substantial agreement in the attribution of the grade of VLS among the 137 cases, ICC=0,89 (0.87–0.91), both in the expert and in the non-expert group (ICC=0.92 and 0.87 respectively). An 'almost perfect' agreement was achieved for intra-observer reproducibility and among physicians in vivo (Kappa 0.93). Conclusion Our classification showed a high accuracy in defining morphological modifications in VLS. It is easy to use, reproducible, and can be applied by different health care providers in daily clinical practice and in all clinical settings. Disclosure Nothing to disclose