Search for coincident air showers over large scale distances with the EEE network

The existence of time correlations in detectors separated by distances much larger than the size of the highest energy extensive air showers (EAS) has been long discussed over the years. Several mechanisms have been proposed to justify the existence of such events and, in the last decade, some experiments have also tried to search for correlations on a large scale distance, beyond one hundred kilometers. The approaches were based on the construction of clusters of detectors placed at large relative distances, with the capability of selecting extensive air showers.