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The effects of structural quenched disorder on phase transitions in magnets are in focus of researchers' attention, since a varying degree of impurities is present in every material studied in the laboratory. Classifying disordered magnets according to their types of disorder one distinguishes between random site, random-field and random anisotropy magnets. I am interested in the random anisotropy magnets which are comparatively less studied. In this seminar I will present results of field-theoretical renormalization group study of dependence of critical properties of random anisotropy model on the distribution of random axis in the case of weak disorder. As well as I discuss discrepancy the sefield-theoretical renormalization group results and Monte Carlo simulations.