2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167124We examine the space-time structure of the particle-emitting sources with fluctuating initial conditions in smoothed particle hydrodynamics. The two-pion correlation functions of single events for the sources exhibit event-by-event fluctuations. The large event-by-event fluctuations and wide distributions of the error-inverse-weighted fluctuations between the HBT correlation functions of single and mixed events are important features for the sources with the fluctuating initial conditions. The root-mean-square of the weighted fluctuations is a signal to detect the inhomogeneity of the systems produced in high energy heavy ion collisions.6 pages, 8 figures, talk presented at the international (7th national) workshop for QCD phase transition and heavy ion collisions, July 10-12, Hefei, ChinaHigh Energy Physics - Phenomenologytext