Anisotropy analysis of the data measured by the Pierre Auger Observatory

This thesis is focused in the development of analysis methods of data measured by the Pierre Auger Observatory's surface array.The Auger Observatory is being built in Malargue, Mendoza and its objective is to detect ultra high energy cosmic rays (E > 1018eV) in order to understand their origin, propagation and to be able to identify their sources.Chapter 1 is a summary of current cosmic rays' theory.It includes details about the energy spectrum of cosmic rays, acceleration sites, forms of acceleration, chemical composition of cosmic rays, the GZK cutoff, magnetic lensing and experiments.Following in Chapter 2 deflection as a function of energy, using the equation of small deflections to first or second order, is analyzed, and the energy range where is approximation is valid is determined.Then, the case of multiple images, which appear when a caustic crosses the position of a source, is studied.Two simulations of cosmic rays from point sources and propagating through a realistic model of the galactic magnetic field were used.Principal and secondary images were analyzed in order to extract information concerning their sources and the magnetic fields they passed through.In Chapter 3 the Minimal Spanning Tree method (MST) used for the detection of filamentary structures is studied.This method was adapted to the analysis of cosmic rays' arrival directions, considering that the detector only observes a part of the sky, with a non uniform exposure and that the density of events depends on exposure.Moreover, the correlation between energy and position is analyzed including now experimental errors in the simulations. Correlated events with experimental errors plus background are simulated and methods of extracting the correlated structure, identifying its source and deducing information about the magnetic field are determined.Finally, conclusions are made, highlighting the most relevant results