Historically, foreign conquerors, whether they were Arabs or Turkic (e.g. Timur), became in general culturally assimilated and "Persian-ized" when they took over Persia. Persia has had a distinct identity with a strong culture that has exerted great influence on those steppe nomads. Not to mention its strong influence on neighbouring regions. For example, the Abbasid caliphate in Baghdad became heavily Persianized, and the Mughals carried Persian culture to India.