  In this paper, a search for power-law fluctuations with fractality and
intermittency analysis to explore the QCD phase diagram and the critical point
is summarized. Experimental data on self-similar correlations and fluctuations
with respect to the size of phase space volume in various high energy heavy-ion
collisions are presented, with special emphasis on background subtraction and
efficiency correction of the measurement. Phenomenological modelling and
theoretical work on the subject are discussed. Finally, we highlight possible
directions for future research.
