Employing Cantor sets for earthquake time series analysis in two zones of western Turkey

In this study, a fractal approach is employed to analyze the seismic history of fethiye andsimav zones in the west of turkey. in this scope, a database, including the set of earthquakes in twoseismogenic zones, is compiled. applying fractal dimension and probability concepts, it is aimed to find outthe occurrence probability of earthquakes having magnitudes equal to or greater than a threshold level.the results are analyzed in detail and relationships among the fractal dimension, threshold magnitude,probability intercept, and critical time scale are presented. the analyses revealed that activities in thefethiye zone are more frequent and continuous than those in the simav zone. as mentioned in previousstudies, the critical time scales at certain magnitude thresholds can be referred to as the lower limit of therecurrence period of earthquakes in these zones.