Jarrow-Yildirim model for inflation: theory and applications

This thesis deals with inflation theory, focussing on the model of Jarrow & Yildirim, which is nowadays used when pricing inflation derivatives. After recalling main results about short and forward interest rate models, the dynamics of the main components of the market are derived. Then the most important inflation-indexed derivatives are explained (zero coupon swap, year-on-year, cap and floor), and their pricing proceeding is shown step by step. Calibration is explained and performed with a common method and an heuristic and non standard one. The model is enriched with credit risk, too, which allows to take into account the possibility of bankrupt of the counterparty of a contract. In this context, the general method of pricing is derived, with the introduction of defaultable zero-coupon bonds, and the Monte Carlo method is treated in detailed and used to price a concrete example of contract. Appendixes: A: martingale measures, Girsanov's theorem and the change of numeraire. B: some aspects of the theory of Stochastic Differential Equations; in particular, the solution for linear EDSs, and the Feynman-Kac Theorem, which shows the connection between EDSs and Partial Differential Equations. C: some useful results about normal distribution.

Thermal inflation and the cosmological moduli problem

Ho studiato la possibilità di soluzione per il problema cosmologico dei moduli (CMP) presente a causa della compattificazione delle dimensioni extra tramite un periodo di inflazione a basse energie (Thermal Inflation). L'elaborato consta di cinque capitoli. Il primo introduce il lettore alla problematica dei moduli partendo dalla teoria Kaluza-Klein. Il secondo riguarda interamente il CMP e altri problemi cosmologici associati ai moduli. Nel terzo viene descritta la thermal inflation e le condizioni di funzionamento. Nel quarto capitolo viene preso in esame il problema di stabilizzazione dei moduli nella teoria di stringa tipo IIB: vengono descritti sia il meccanismo KKTL che il LVS. L'ultimo capitolo consiste nel calcolo della diluizione dei moduli, enunciata prima in un contesto generale e infine applicata al LVS, tramite la thermal inflation. Viene altresì presa in esame la possibilità di due epoche di thermal inflation, al fine di ottenere una diluizione più efficiente dei moduli. In LVS sono presenti due moduli, differenti per massa e vita media. Il più leggero è soggetto al CMP e si trova che, anche dopo due periodi di thermal inflation vi è ancora un numero eccessivo di tali campi, in quanto se da un lato la thermal inflation ne diliusca la densità iniziale, dall'altro ne causa una forte riproduzione, dovuta essenzialmente alle caratteristiche del modulo

Study of nanostructured targets for plasma production via laser ablation

Metal nanowires (NWs) - nanostructures 20-100 nm in diameter and up to tens of micrometers long - behave as waveguides when irradiated with light with wavelength much greater than their diameter. This is due to collective excitations of free electrons (plasmons) in the metal which couple to light and travel on the surface of the nanowire. This effect can be used to efficiently absorb laser pulses to produce dense and hot plasma on special nanostructured targets with metal nanowires vertically aligned on the surface. In this thesis work, nanostructured targets with different parameters (length, diameter, metal and fabrication process) have been irradiated with infrared laser light. X-ray flux emitted by the cooling plasma is measured during irradiation, and the depth of craters formed on the target is measured later. This data is used to choose which target parameters are best for plasma production. Different targets are compared with each other and against a control, non-nanostructured (bulk) target. As will be shown, highly significant (> 5 sigma) differences are found between targets with different nanostructures, and between nanostructured and bulk target. This differences are very difficult to explain whithout accounting for the nanostructures in the targets. Therefore, data collected and analized in this thesis work supports the hypotesys that nanostructured targets perform better than bulk targets for laser plasma production purposes, and provides useful indications for optimization of NWS' parameters.