Large scale distribution of matter in the nearby universe and ultra-high energy cosmic rays

The deflection of extragalactic ultra-high energy protons (E > 4E19 eV) travelling to our galaxy is studied assuming that visible matter traces both, the sources of the particles and the intergalactic magnetic field. The reversal scale and the magnitude of the magnetic field are determined by the local density of matter. The CfA Redshift Catalog is used to determine the distribution of galaxies inside 50 Mpc, where the sources are believed to reside. It is demonstrated that the arrival directions of ultra high energy cosmic rays are consistent with the distribution of galaxies inside 50 Mpc and that the proposed clusters of events point to regions of high density of sources instead of individual ones.