Wavelet analysis of event by event fluctuations

The temporal fluctuations of produced hadron density in heavy ion collisions, modelled by 2D Ising model at temperatures $T_c$ and below, are studied through a recently developed wavelet based fluctuation analysis method. At $T_c$, long-range correlated multifractal behavior, matching with the recently observed Hurst exponent $H\simeq 1$, is found. Below $T_c$ uncorrelated monofractal behavior is seen. The correlation behavior compares well with the results obtained from continuous wavelet based average wavelet co-efficient method, as well as with Fourier power spectral analysis.