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In these last years, mobile devices, such as mobile phones or Personal Digital Assistants, became very popular among people. Moreover, mobile devices became also very powerful, and most of them are also able to execute applications, such as games, Internet browsers, e-mail clients, and so on. Hence, an adequate security support is required on these devices, to avoid that malicious applications damage the device or perform unauthorized accesses to personal data (such as the contact list). This chapter describes the approaches that have been proposed in scientific literature to guarantee the security of mobile devices.