Lyth Bound, eternal inflation and future cosmological missions

In this paper we provide a new expression for the variation of the inflaton field $\Delta\phi$ during the horizon crossing epoch in the context of single field slow roll inflationary models. Such an expression represents a generalization of the well-know Lyth bound. We also explore the consequences of a detection of permille order of the tensor-to-scalar ratio amplitude, $r$, as well as an improvement on the estimation of the scalar spectral index, $n_s$ and its running $\alpha_s$, by the upcoming CMB polarization experiments that will provide plausible constraints on the quantity $\Delta\phi$ during the horizon exit moment. In addition we discuss the relation between the local variation of the field and the possibilities of an eternal inflation. The results of the analysis are completely model independent.Comment: 9 pages, 5 figures, some typos correcte

Constraining the general reheating phase in the α\alpha-attractor inflationary cosmology

In this paper we constrain some aspects of the general postinflationary phase in the context of superconformal $\alpha$-attractor models of inflation. In particular, we provide constraints on the duration of the reheating process, $N_{reh}$, and on the reheating temperature, $T_{reh}$, simulating possible and future results given by the next-generation of cosmological missions. Moreover, we stress what kinds of equation-of-state parameter, $w_{reh}$, are favored for different scenarios. The analysis does not depend on the details of the reheating phase and it is performed assuming different measurements of the tensor-to-scalar ratio $r$.Comment: 8 pages, 2 figure

Reconstruction of the physics of Inflation from next generation cosmological experiments

In this work, we study the problem of the reconstruction of the physics of inflation using current and future cosmological data from cosmic microwave background and gravitational waves experiments. In particular, we focus on the so-called (supergravity) α-attractor models of inflation constraining the shape of the potential as well as the reheating properties of the these models. Furthermore, we approach the problem of the reconstruction of the variation of the inflaton field during inflation providing a next order expression in terms of the inflationary variables

Average Rate of Downlink Heterogeneous Cellular Networks over Generalized Fading Channels - A Stochastic Geometry Approach

In this paper, we introduce an analytical framework to compute the average rate of downlink heterogeneous cellular networks. The framework leverages recent application of stochastic geometry to other-cell interference modeling and analysis. The heterogeneous cellular network is modeled as the superposition of many tiers of Base Stations (BSs) having different transmit power, density, path-loss exponent, fading parameters and distribution, and unequal biasing for flexible tier association. A long-term averaged maximum biased-received-power tier association is considered. The positions of the BSs in each tier are modeled as points of an independent Poisson Point Process (PPP). Under these assumptions, we introduce a new analytical methodology to evaluate the average rate, which avoids the computation of the Coverage Probability (Pcov) and needs only the Moment Generating Function (MGF) of the aggregate interference at the probe mobile terminal. The distinguishable characteristic of our analytical methodology consists in providing a tractable and numerically efficient framework that is applicable to general fading distributions, including composite fading channels with small- and mid-scale fluctuations. In addition, our method can efficiently handle correlated Log-Normal shadowing with little increase of the computational complexity. The proposed MGF-based approach needs the computation of either a single or a two-fold numerical integral, thus reducing the complexity of Pcov-based frameworks, which require, for general fading distributions, the computation of a four-fold integral.Comment: Accepted for publication in IEEE Transactions on Communications, to appea

An atypical case of trigeminal trophic syndrome: a legal medicine perspective in medical responsibility

BACKGROUND: Trigeminal trophic syndrome is a rare complication of peripheral or central damage to the trigeminal nerve characterized by anesthesia, paresthesia and a secondary persistent facial ulceration. METHODS: We describe the case of a 40-year-old woman with previous history of Le Fort I osteotomy for a class III malocclusion who developed trigeminal trophic syndrome. Atypically, the cutaneous symptoms appeared bilaterally and 8 years after surgery. RESULTS: Differential diagnosis was based on clinical history, tissue biopsy and serologic evaluation. Atypical findings could be linked to the surgical burdens of Le Fort I osteotomy, a procedure characterized by a bilateral incision on the maxillofacial bones with a reasonable probability of causing a bilateral injury of the peripheral branches of the trigeminal nerve. CONCLUSION: Although the long delay between trigeminal trophic syndrome onset and surgery and the absence of adequate medical evidence cannot confirm a link with previous surgery in this case, the increasing number of maxillofacial surgery cases suggests that this complication may be more frequent in the next decades, and thus, involved specialists should be aware of this condition as a possible complication of maxillofacial surgery procedures

Key elements of global inflation

Against the background of large fluctuations in world commodity prices and global growth, combined with ongoing structural changes relating to globalization, this paper examines some of the key factors affecting global inflation. The paper empirically investigates various relative price and structural impacts on global inflation by: estimating a GVAR to examine how oil price shocks feed through to core and headline inflation; calculating the impact of increased imports from low-cost countries on manufacturing import prices; estimating Phillips curves in order to shed light on whether the inflationary process in the OECD countries has changed over time, particularly with respect to the roles of import prices, unit labour costs and the output gap. Overall, the paper finds that there seem to be various significant pressures on global trade prices and labour markets associated with structural factors possibly partly due to globalisation which, in addition to monetary policy, seem to be behind some of the changes in the inflation process over the period examined in this paper.Phillips Curve, inflation, output gap, import prices, unit labour costs, globalisation, monetary policy.

Variable Inflaton Equation of State and Reheating

We explore the consequences of a time-dependent inflaton Equation-of-State (EoS) parameter in the context of the post-inflationary perturbative Boltzmann reheating. In particular, we numerically solve the perturbative coupled system of Boltzmann equations involving the inflaton energy density, the radiation energy density and the related entropy density and temperature of the produced particle thermal bath. We exploit reasonable Ans\"atze for the EoS and discuss the robustness of the Boltzmann system. We also comment on the possible microscopic origin related to a time dependent inflaton potential, discussing the consequences on a preheating stage and the related (primordial) gravitational waves.Comment: 16 pages, 6 figures, minor corrections, references added. Version conformal to the published on

Location-Verification and Network Planning via Machine Learning Approaches

In-region location verification (IRLV) in wireless networks is the problem of deciding if user equipment (UE) is transmitting from inside or outside a specific physical region (e.g., a safe room). The decision process exploits the features of the channel between the UE and a set of network access points (APs). We propose a solution based on machine learning (ML) implemented by a neural network (NN) trained with the channel features (in particular, noisy attenuation values) collected by the APs for various positions both inside and outside the specific region. The output is a decision on the UE position (inside or outside the region). By seeing IRLV as an hypothesis testing problem, we address the optimal positioning of the APs for minimizing either the area under the curve (AUC) of the receiver operating characteristic (ROC) or the cross entropy (CE) between the NN output and ground truth (available during the training). In order to solve the minimization problem we propose a twostage particle swarm optimization (PSO) algorithm. We show that for a long training and a NN with enough neurons the proposed solution achieves the performance of the Neyman-Pearson (N-P) lemma.Comment: Accepted for Workshop on Machine Learning for Communications, June 07 2019, Avignon, Franc

Modelling sustainable human development in a capability perspective

In this paper we model sustainable human development as intended in Sen's capability approach in a system dynamic framework. Our purpose is to verify the variations over time of some achieved functionings, due to structural dynamics and to variations of the institutional setting and instrumental freedoms (IF Vortex). The model is composed of two sections. The 'Left Side' one points out the 'demand' for functionings in an ideal world situation. The real world one, on the 'Right Side' indicates the 'supply' of functionings that the socio-economic system is able to provide individuals with. The general model, specifically tailored for Italy, can be simulated over desired time horizons: for each time period, we carry out a comparison between ideal world and real world functionings. On the basis of their distances, the model simulates some responses of decision makers. These responses, in turn influenced by institutions and instrumental freedoms, ultimately affect the dynamics of real world functionings, i.e. of sustainable human development.Functionings, Capabilities, Institutions, Instrumental Freedoms, Sustainable Human Development