Knot theory and its applications

Nella tesi verranno presi in considerazione tre aspetti: si descriverà come la teoria dei nodi si sia sviluppata nel corso degli anni in relazione alle diverse scoperte scientifiche avvenute. Si potrà quindi subito avere una idea di come questa teoria sia estremamente connessa a diverse altre. Nel secondo capitolo ci si occuperà degli aspetti più formali di questa teoria. Si introdurrà il concetto di nodi equivalenti e di invariante dei nodi. Si definiranno diversi invarianti, dai più elementari, le mosse di Reidemeister, il numero di incroci e la tricolorabilità, fino ai polinomi invarianti, tra cui il polinomio di Alexander, il polinomio di Jones e quello di Kaufman. Infine si spiegheranno alcune applicazioni della teoria dei nodi in chimica, fisica e biologia. Sulla chimica, si definirà la chiralità molecolare e si mostrerà come la chiralità dei nodi possa essere utile nel determinare quella molecolare. In campo fisico, si mostrerà la relazione che esiste tra l'equazione di Yang-Baxter e i nodi. E in conclusione si mostrerà come modellare un importante processo biologico, la recombinazione del DNA, grazie alla teoria dei nodi.

Supporting semantic web technologies in the pervasive service ecosystems middleware

Semantic Web technologies are strategic in order to fulfill the openness requirement of Self-Aware Pervasive Service Ecosystems. In fact they provide agents with the ability to cope with distributed data, using RDF to represent information, ontologies to describe relations between concepts from any domain (e.g. equivalence, specialization/extension, and so on) and reasoners to extract implicit knowledge. The aim of this thesis is to study these technologies and design an extension of a pervasive service ecosystems middleware capable of exploiting semantic power, and deepening performance implications.

The road to augmented reality: a comprehensive study of hardware and applications over the last ten years

Augmented reality has been growing extensively over the years in all aspects and multiple fields. My aim in this paper is to present a comprehensive study on augmented reality(AR) hardware and its applications from early developments to the possible future trends. Particularly my research is more focused on last 11 years(2012-2022), where I systematically reviewed 30 research papers per year to get a clear knowledge on trends of AR. A total of 330 publications were reviewed and grouped according to their application. The review's main contribution is to show the entire landscape of AR research and to provide a broad view of how it has evolved. Along with various AR glasses history and specifications are presented in detail. In the penultimate chapter I explained my methodology of research following my analysis from the past to the present along with my thoughts for the future. To conclude my study, In the final chapter I made some statements about possible future with AR, VR and XR(extended reality).

State of the art and future perspectives on security metrics and their applications

In modern society, security issues of IT Systems are intertwined with interdisciplinary aspects, from social life to sustainability, and threats endanger many aspects of every- one’s daily life. To address the problem, it’s important that the systems that we use guarantee a certain degree of security, but to achieve this, it is necessary to be able to give a measure to the amount of security. Measuring security is not an easy task, but many initiatives, including European regulations, want to make this possible. One method of measuring security is based on the use of security metrics: those are a way of assessing, from various aspects, vulnera- bilities, methods of defense, risks and impacts of successful attacks then also efficacy of reactions, giving precise results using mathematical and statistical techniques. I have done literature research to provide an overview on the meaning, the effects, the problems, the applications and the overall current situation over security metrics, with particular emphasis in giving practical examples. This thesis starts with a summary of the state of the art in the field of security met- rics and application examples to outline the gaps in current literature, the difficulties found in the change of application context, to then advance research questions aimed at fostering the discussion towards the definition of a more complete and applicable view of the subject. Finally, it stresses the lack of security metrics that consider interdisciplinary aspects, giving some potential starting point to develop security metrics that cover all as- pects involved, taking the field to a new level of formal soundness and practical usability.

Biopolyester fibers for sustainable and biocompatible applications

The rising of concerns around the scarcity of non-renewable resources has raised curiosity around new frontiers in the polymer science field. Biopolymers is a general term describing different kind of polymers that are linked with the biological world because of either monomer derivation, end of life degradation or both. The current work is aimed at studying one example of both biopolymers types. Polyhydroxibutyrate (P3HB) is a biodegradable microbial-produced polymer which holds massive potentiality as a substitute of polyolefins such as polypropylene. Though, its highly crystalline nature and stereoregularity of structure make it difficult to work with. The project P3HB-Mono take advantage of polarized Raman spectroscopy to see how annealing of chains with different weights influence the crystallinity and molecular structure of the polymer, eventually reflecting on its mechanical properties. The technique employed is also optimal in order to see how mesophase, a particular conformation of chains different from crystalline and amorphous phase, develops in the polymer structure and changes depending on temperature and mechanical stress applied to the fiber. Polycaprolactone (PCL) on the other hand is a biodegradable fossil-fuel polymer which has biocompatibility and bio-resorbability features. As a consequence this material is very appealing for medical industry and can be used for different applications in this field. One interesting option is to produce narrow and long liquid filled fibers for drug delivery inside human body, using a traditional technique in an innovative way. The project BioLiCoF investigates the feasability of producing liquid filled fibers using melt-spinning techniques and will examine the role that melt-spinning parameters and liquids employed as a core solution have on the final fiber. The physical analysis of the fibers is also interpreted and idea on future developments of the trials are suggested.