Using Fractal Dimensionality in the Search for Anisotropy of Ultra-High Energy Cosmic Rays

Although the existence of cosmic rays with energies extending well above 10 eV has been confirmed, their origin remains one of the most important questions in particle astrophysics today. Several different types of anisotropy have been proposed for the observed set of ultra high energy cosmic rays. Yet none of these models have been conclusively identified as corresponding with all of the available data. We propose a method by which one can use fractal dimensionality analysis to make a global measurement that would indicate the presence of any potential anisotropy. We will present the application of this analysis to the HiRes1 monocular data at ICRC 2003