The power law behaviors implied by the Cole-Cole plot are presented. The power law behavior in the frequency domain, indicated by the shape of the Cole-Cole plot, implies power law behavior in the time domain as well. The so-called “delayed response” in &egr;(&ohgr;) should be interpreted as a long time transient response, which can impose significant experimental constraints. Dielectric materials in general, and ferroelectric crystals in particular, allow us to investigate power law decay in great detail and offer an experimental probe into a very fundamental question does power law behavior necessarily imply a fractal underlying structure? ©2000 American Institute of Physics.