  We show that the temporal fluctuations $\Delta H(t)$ of the threshold driving
field $H(t)$, which triggers an avalanche in slowly driven disordered
ferromagnets with many domains, exhibit long-range correlations in space and
time. The probability distribution of the distance between {\it successive}
avalanches as well as the distribution of trapping times of domain wall at a
given point in space have fractal properties with the universal scaling
exponents. We show how these correlations are related to the scaling behavior
of Barkhausen avalanches occurring by magnetization reversal. We also suggest a
transport equation which takes into account the observed noise correlations.
