Cube Complexes and Virtual Fibering of 3-Manifolds.

Una 3-varietà si dice virtualmente fibrata se ammette un rivestimento finito che è un fibrato con base una circonferenza e fibra una superficie. In seguito al lavoro di geometrizzazione di Thurston e Perelman, la generica 3-varietà risulta essere iperbolica; un recente risultato di Agol afferma che una tale varietà è sempre virtualmente fibrata. L’ingrediente principale della prova consiste nell’introduzione, dovuta a Wise, dei complessi cubici nello studio delle 3-varietà iperboliche. Questa tesi si concentra sulle proprietà algebriche e geometriche di queste strutture combinatorie e sul ruolo che esse hanno giocato nella dimostrazione del Teorema di Fibrazione Virtuale.

Packet erasure correcting codes for wireless sensor networks: implementation and field trial measurements

This thesis regards the Wireless Sensor Network (WSN), as one of the most important technologies for the twenty-first century and the implementation of different packet correcting erasure codes to cope with the ”bursty” nature of the transmission channel and the possibility of packet losses during the transmission. The limited battery capacity of each sensor node makes the minimization of the power consumption one of the primary concerns in WSN. Considering also the fact that in each sensor node the communication is considerably more expensive than computation, this motivates the core idea to invest computation within the network whenever possible to safe on communication costs. The goal of the research was to evaluate a parameter, for example the Packet Erasure Ratio (PER), that permit to verify the functionality and the behavior of the created network, validate the theoretical expectations and evaluate the convenience of introducing the recovery packet techniques using different types of packet erasure codes in different types of networks. Thus, considering all the constrains of energy consumption in WSN, the topic of this thesis is to try to minimize it by introducing encoding/decoding algorithms in the transmission chain in order to prevent the retransmission of the erased packets through the Packet Erasure Channel and save the energy used for each retransmitted packet. In this way it is possible extend the lifetime of entire network.

Entropia, contenuto informativo e network linguistici: applicazioni al manoscritto di Voynich

La tesi si propone di investigare, mediante un approccio puramente quantitativo, il contenuto informativo e la morfologia della lingua del manoscritto di Voynich (VMS), noto per essere redatto in un alfabeto sconosciuto e tuttora non decodificato. Per prima cosa, a partire dal concetto di entropia, sviluppato nel contesto della teoria della informazione, si costruisce una misura del contenuto informativo di un testo (misura di Montemurro-Zanette); quindi, si presentano diversi esperimenti in cui viene misurata l'informazione di testi sottoposti a trasformazioni linguistiche di vario genere(lemmatizzazione, traduzione, eccetera). In particolare, l'applicazione al VMS di questa misura unita ad altre tecniche, ci permette di indagare la struttura tematica del manoscritto e le relazioni tra i suoi contenuti, verificando che esiste una continuità semantica tra pagine consecutive appartenenti a una stessa sezione. La grande quantità di hapax nel manoscritto ci porta poi a considerazioni di tipo morfologico: suggerisce infatti che la lingua del manoscritto sia particolarmente flessiva. La ricerca, in particolare, di sequenze di hapax consecutivi, ci porta a identificare -verosimilmente- alcuni nomi propri. Proprio per approfondire la morfologia della lingua si costruisce infine un grafo linguistico basato sostanzialmente sulla distanza di Hamming; confrontando la topologia di questi grafi per alcune lingue e per la lingua del VMS si osserva che quest'ultimo si distingue per maggiore densità e connessione. Traendo le conclusioni, i forti indizi a favore della presenza di un contenuto informativo nel testo confermano l'ipotesi che questo sia scritto in una vera lingua. Tuttavia, data la notevole semplicità delle regole di costruzione morfologiche, a nostro parere non sembra assimilabile ad una lingua naturale conosciuta, ma piuttosto ad una artificiale, creata appositamente per questo testo.

Supporting Cubane’s Renaissance: Metathesis reactions on 4-iodo-1-vinylcubane and Stetter reaction on 1-iodocubane-4-carboxaldehyde

Cubane is a peculiar cube-shaped alkane molecule with a rigid, regular structure. This makes it a good scaffold, i.e. a molecular platform to which the substituents are arranged in a specific and fixed orientation. Moreover, cubane has a body diagonal of 2.72 Å, very similar to the distance across the benzene ring, i.e. 2.79 Å. Thus, it would be possible to use cubane as a scaffold in medicinal and material chemistry as a benzene isostere 1,2. This could lead to advantages in terms of solubility and toxicity and could provide novel properties. For this purpose, the possibility of performing “modern organic chemistry” on the cubane scaffold has to be studied. This project was entirely carried out in the framework of the Erasmus+ mobility programme at the Trinity College (Dublin, IRL) under the supervision of prof. M. O. Senge. The main goal of this project was to widen the knowledge on cubane chemistry. In particular, it was decided to test reactions that were never applied to the scaffold before, such as metathesis of 4-iodo-1-vinylcubane and Stetter reaction of 1-iodocubane-4-carboxaldehyde. These two molecules were synthesized in 10 and 9 steps respectively from commercially available cyclopentanone, following a known procedure. Unfortunately, metathesis with different olefins, such as styrene, α,β unsaturated compounds and linear α-olefins failed under different conditions, highlighting cubane behaves as a Type IV, challenging olefin under metathesis conditions. Even the employment of a specific catalyst for hindered olefins failed in the cross-coupling with linear α-olefins. On the other hand, two new molecules were synthesized via Stetter reaction and benzoin condensation respectively. Even if the majority of the reactions were not successful, this work can be seen as an inspiration for further investigation on cubane chemistry, as new questions were raised and new opportunities were envisioned.

Studio e sperimentazione di missioni autonome di un veicolo terrestre controllato con sistemi inerziali e satellitari

L'argomento del lavoro di tesi svolto ha lo scopo di testare le prestazioni di dispositivi riceventi per Global Navigation Satellite System (GNSS) che utilizzano la tecnologia di posizionamento Real-Time Kinematics (RTK) e valutarne le prestazioni rispetto alle tradizionali riceventi GNSS, nello sviluppo di missioni autonome per veicoli di terra di piccole dimensioni. Per questi esperimenti è stato usato un rover di piccole dimensioni alimentato a batteria, su cui è stato installato un autopilota Pixhawk Cube Orange con firmware Ardupilot, nello specifico Ardurover. Attraverso il software Mission Planner è stato richiesto al rover di effettuare completamente in autonomia delle missioni per testare sia le prestazioni dei sistemi GNSS tradizionali sia dei sistemi RTK. Attraverso i dati raccolti durante le sperimentazioni è stato fatto un confronto tra GNSS e RTK. I dati raccolti sono stati utilizzati per valutare le prestazioni in termini di precisione dei sistemi e non sono state rilevate significative differenze durante l'utilizzo del dispositivo RTK per lo svolgimento della missione richiesta al rover, con l'architettura hardware proposta.

Numerical study on viscoelastic behavior of polypropylene fiber reinforced concrete subjected to temperature variations using LDPM theory

This thesis is focused on the viscoelastic behavior of macro-synthetic fiber-reinforced concrete (MSFRC) with polypropylene studied numerically when subjected to temperature variations (-30 oC to +60 oC). LDPM (lattice discrete particle model), a meso-scale model for heterogeneous composites, is used. To reproduce the MSFRC structural behavior, an extended version of LDPM that includes fiber effects through fiber-concrete interface micromechanics, called LDPM-F, is applied. Model calibration is performed based on three-point bending, cube, and cylinder test for plain concrete and MSFRC. This is followed by a comprehensive literature study on the variation of mechanical properties with temperature for individual fibers and plain concrete. This literature study and past experimental test results constitute inputs for final numerical simulations. The numerical response of MSFRC three-point bending test is replicated and compared with the previously conducted experimental test results; finally, the conclusions were drawn. LDPM numerical model is successfully calibrated using experimental responses on plain concrete. Fiber-concrete interface micro-mechanical parameters are subsequently fixed and LDPM-F models are calibrated based on MSFRC three-point bending test at room temperature. Number of fibers contributing crack bridging mechanism is computed and found to be in good agreement with experimental counts. Temperature variations model for individual constituents of MSFRC, fibers and plain concrete, are implemented in LDPM-F. The model is validated for MSFRC three-point bending stress-CMOD (crack mouth opening) response reproduced at -30 oC, -15 oC, 0 oC, +20 oC, +40 oC and +60 oC. It is found that the model can well describe the temperature variation behavior of MSFRC. At positive temperatures, simulated responses are in good agreement. Slight disagreement in negative regimes suggests an in-depth study on fiber-matrix interface bond behavior with varying temperatures.

Numerical modeling on the short-term response of fiber-reinforced concrete round panels

Fiber-reinforced concrete is a composite material consisting of discrete, discontinuous, and uniformly distributed fibers in plain concrete primarily used to enhance the tensile properties of the concrete. FRC performance depends upon the fiber, interface, and matrix properties. The use of fiber-reinforced concrete has been increasing substantially in the past few years in different fields of the construction industry such as ground-level application in sidewalks and building floors, tunnel lining, aircraft parking, runways, slope stabilization, etc. Many experiments have been performed to observe the short-term and long-term mechanical behavior of fiber-reinforced concrete in the last decade and numerous numerical models have been formulated to accurately capture the response of fiber-reinforced concrete. The main purpose of this dissertation is to numerically calibrate the short-term response of the concrete and fiber parameters in mesoscale for the three-point bending test and cube compression test in the MARS framework which is based on the lattice discrete particle model (LDPM) and later validate the same parameters for the round panels. LDPM is the most validated theory in mesoscale theories for concrete. Different seeds representing the different orientations of concrete and fiber particles are simulated to produce the mean numerical response. The result of numerical simulation shows that the lattice discrete particle model for fiber-reinforced concrete can capture results of experimental tests on the behavior of fiber-reinforced concrete to a great extent.