Stiff knots

We report on the geometry and mechanics of knotted stiff strings. We discuss both closed and open knots. Our two main results are: (i) Their equilibrium energy as well as the equilibrium tension for open knots depend on the type of knot as the square of the bridge number; (ii) Braid localization is found to be a general feature of stiff strings entanglements, while angles and knot localization are forbidden. Moreover, we identify a family of knots for which the equilibrium shape is a circular braid. Two other equilibrium shapes are found from Monte Carlo simulations. These three shapes are confirmed by rudimentary experiments. Our approach is also extended to the problem of the minimization of the length of a knotted string with a maximum allowed curvature.Comment: Submitted to Phys. Rev.

Hierarchical organization of urban mobility and its connection with city livability

This is the final version. Available on open access from Nature Research via the DOI in this recordThe recent trend of rapid urbanization makes it imperative to understand urban characteristics such as infrastructure, population distribution, jobs, and services that play a key role in urban livability and sustainability. A healthy debate exists on what constitutes optimal structure regarding livability in cities, interpolating, for instance, between mono- and poly-centric organization. Here anonymous and aggregated flows generated from three hundred million users, opted-in to Location History, are used to extract global Intra-urban trips. We develop a metric that allows us to classify cities and to establish a connection between mobility organization and key urban indicators. We demonstrate that cities with strong hierarchical mobility structure display an extensive use of public transport, higher levels of walkability, lower pollutant emissions per capita and better health indicators. Our framework outperforms previous metrics, is highly scalable and can be deployed with little cost, even in areas without resources for traditional data collection.Conselleria d’Educacio, Cultura i Universitats of the Government of the Balearic IslandsEuropean Social FundSpanish Ministry of Science, Innovation and UniversitiesNational Agency for Research Funding AEIFEDER (EU)Maria de Maeztu program for Units of Excellence in R&DNYS Center of Excellence in Data Science, University of RochesterU. S. Army Research Office (ARO

Effects of temporal correlations in social multiplex networks

Multi-layered networks represent a major advance in the description of natural complex systems, and their study has shed light on new physical phenomena. Despite its importance, however, the role of the temporal dimension in their structure and function has not been investigated in much detail so far. Here we study the temporal correlations between layers exhibited by real social multiplex networks. At a basic level, the presence of such correlations implies a certain degree of predictability in the contact pattern, as we quantify by an extension of the entropy and mutual information analyses proposed for the single-layer case. At a different level, we demonstrate that temporal correlations are a signature of a ‘multitasking’ behavior of network agents, characterized by a higher level of switching between different social activities than expected in a uncorrelated pattern. Moreover, temporal correlations significantly affect the dynamics of coupled epidemic processes unfolding on the network. Our work opens the way for the systematic study of temporal multiplex networks and we anticipate it will be of interest to researchers in a broad array of fields

The physics of spreading processes in multilayer networks

The study of networks plays a crucial role in investigating the structure, dynamics, and function of a wide variety of complex systems in myriad disciplines. Despite the success of traditional network analysis, standard networks provide a limited representation of complex systems, which often include different types of relationships (i.e., "multiplexity") among their constituent components and/or multiple interacting subsystems. Such structural complexity has a significant effect on both dynamics and function. Throwing away or aggregating available structural information can generate misleading results and be a major obstacle towards attempts to understand complex systems. The recent "multilayer" approach for modeling networked systems explicitly allows the incorporation of multiplexity and other features of realistic systems. On one hand, it allows one to couple different structural relationships by encoding them in a convenient mathematical object. On the other hand, it also allows one to couple different dynamical processes on top of such interconnected structures. The resulting framework plays a crucial role in helping achieve a thorough, accurate understanding of complex systems. The study of multilayer networks has also revealed new physical phenomena that remain hidden when using ordinary graphs, the traditional network representation. Here we survey progress towards attaining a deeper understanding of spreading processes on multilayer networks, and we highlight some of the physical phenomena related to spreading processes that emerge from multilayer structure.Comment: 25 pages, 4 figure

Epidemic proximity and imitation dynamics drive infodemic waves during the COVID-19 pandemic

An infodemic - an outpouring of information, including misleading and also fake news - is accompanying the current pandemic caused by SARS-CoV-2. In the absence of valid therapeutic approaches, behavioral responses may seriously affect the social dynamics of contagion, so the infodemic may cause confusion and disorientation in the public, leading to possible individually and socially harmful choices. This new phenomenon requires specific modeling efforts to better understand the complex intertwining of the epidemic and infodemic components of a pandemic crisis, with a view to building an integrative public health approach. We propose three models, from epidemiology to game theory, as potential candidates for the onset of the infodemics and statistically assess their accuracy in reproducing real infodemic waves observed in a data set of 390 million tweets collected worldwide. Our results show that evolutionary game-theory models are the most suitable ones to reproduce the observed infodemic modulations around the onset of the local epidemic wave. Furthermore, we find that the number of confirmed COVID-19 reported cases in each country and worldwide are driving the modeling dynamics with opposite effects

Recenti risultati delle ricerche alla Grotta del Pino (Sassano, Salerno)

In seguito alla scoperta fortuita nel 1994 della grotta del Pino, situata nel tratto meridionale del Vallo di Diano, nel comune di Sassano (SA), la cavità è stata al centro di due campagne di scavo e di numerosi sopralluoghi effettuati tra il 1997 e il 1998. In questa sede sono esposti i risultati scaturiti da questa articolata indagine condotta sul campo in stretta collaborazione tra paletnologi ed esperti di scienze della terra, antropologi e paleontologi, ai quali si è aggiunto il contributo di specialisti relativamente all’inquadramento delle ceramiche di tipo egeo e alle analisi archeometriche ad esse pertinenti. Sulla base delle prime risultanze della ricerca è stato evidenziato un carattere prevalentemente funerario della frequentazione della grotta associato a complesse pratiche rituali. L’esame dei materiali ceramici rinvenuti ha consentito di circoscriverne la frequentazione ad un arco cronologico compreso tra la fase non iniziale dell’Eneolitico ed il Bronzo medio iniziale (Protoappenninico B), mentre episodico è apparsa l’utilizzazione come luogo di sepoltura nel VII sec. a.C. Alla frequentazione dell’età del Bronzo medio iniziale, assai più consistente di quella dell’Eneolitico e dell’antica età del Bronzo, possono essere assegnati diversi frammenti ceramici in argilla depurata di tipologia egea, alcuni dei quali con decorazione dipinta a vernice bruna