Mirror Energy Differences and nuclear structure in 1f7/2f_{7/2} nuclei

Experimental mirror energy differences (MED) for nuclei lying in the middle and the second part of $1f_{7/2}$ shell are compared with shell model calculations in the $1f_{7/2}$ and in the full $pf$ configuration spaces, as well as with CSM calculations. MED plots are fully consistent with the description which emerges from the interpretation of SM calculations: i.e. the band crossing of the gs band with high-$K$ bands in $A$=51 and 50 mirror pairs, as well as the seniority-3 quasi band-termination at $I^\pi$=19/2$^-$ in $A$=49. Rotational alignment effects are excluded, contrarily to what even recently proposed. Some inconsistencies, as well as definition improprieties, are pointed out in the topical literature.Comment: 10 pages 11 figure

Late-Holocene Human Resilience in a Fluvial Environment: A Geoarchaeological Dataset for the Central Po Plain (N Italy)

This paper presents a dataset collected and constructed as part of a PhD research project in Environmental Sciences. Applying a multidisciplinary approach that combines archaeological and geomorphological data, this project aimed to reconstruct the Late Holocene landscape evolution in the Central Po Plain (Italy). The dataset was collected digitising the information retrieved from various sources such as scientific literature, regional databases and terrain surveys. In particular, the geoarchaeological data consist of a record of 761 archaeological sites and a soil map reporting the different sediment types of the area. Natural and anthropogenic landscape features developed by human-environmental interplay are organised in paleochannels, watercourses and channelisation. This dataset represents one of the first open-access data collection available in Italy and can be reused by any researchers working in fluvial landscape studies

Geomorphological hazard and tourist vulnerability along Portofino Park trails (Italy)

International audienceThe many trails existing in the coastal area of Portofino Promontory are used by tourists for trekking or as pathways to small villages and beaches. The aim of this paper is to define geomorphological hazard and tourist vulnerability in this area, within the framework of the management and planning of hiking activities in Portofino Natural Park. In particular, processes triggered by gravity, running waters and wave motion, affecting the slopes and the cliff, are considered. The typology of the trails and trail maintenance are also taken into account in relation to weather conditions that can make the excursion routes dangerous for tourists. In conclusion, an operative model is applied for the definition of possible risk scenarios. This model is founded on an inventory and the quantification of geomorphological hazards and tourist vulnerability, in comparison with trail rescue data. The model can be applied to other environments and tourist areas

A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere

Here, we prove an isoperimetric inequality for the harmonic mean of the first N - 1 non-trivial Neumann eigenvalues of the Laplace-Beltrami operator for domains contained in a hemisphere of N

Matilda’s castles, northern Apennines: geological and geomorphological constrains

The positioning and construction of castles in ancient times responded not only to strategic opportunity, but also to the issue of geomorphological risk. We investigated castles and strongholds built in the era of the Great Countess Matilda of Canossa in part of the northern Apennines (Italy), in order to study the relationship between their positioning and the distribution of geomorphological and geological hazards. We observe how the location of castles follows clear patterns of avoidance of potential hazards: castles are kept far from the main fault systems and stream networks, and are mainly at a safe distance from landslide- and badlands-susceptible terrains. The knowledge of Medieval communities on landscape hazards was sufficiently advanced to minimise risks, while maintaining the strategic value of fortifications

Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift

This paper deals with the eigenvalue problem for the operator L=-δ-x{dot operator}∇ with Dirichlet boundary conditions. We are interested in proving the existence of a set minimizing any eigenvalue λk of L under a suitable measure constraint suggested by the structure of the operator. More precisely we prove that for any c>0 and k∈N the following minimization problemmin<>{λk(Ω):Ωquasi-openset,∫Ωe|x|2/2dx≤c} has a solution