Recent research has established a general chronological framework for the process of conversion of Iranians to Islam. From a study of the probable dates of individual conversions based on genealogies in biographical dictionaries, Richard Bulliet has suggested that there was gradual and limited conversion of Persians down to the end of the Umayyad period (132/750), followed by a rapid increase in the number of conversions after the ʿAbbasid revolution, so that by the time when regional dynasties had been established in the east (ca. 338/950) 80 percent or more of Iranians had become Muslims.