In recent years, mobile devices (such as smartphones and tablets) have become essential tools in everyday life for billions of people all around the world. Users continuously carry such devices with them and use them for daily communication activities and social network interactions. Hence, such devices contain a huge amount of private and sensitive information. For this reason, mobile devices become popular targets of attacks. In most attack settings, the adversary aims to take local or remote control of a device to access user sensitive information. However, such violations are not easy to carry out since they need to leverage a vulnerability of the system or a careless user (i.e., install a malware app from an unreliable source). A different approach that does not have these shortcomings is the side-channels analysis. In fact, side-channels are physical phenomenon that can be measured from both inside or outside a device. They are mostly due to the user interaction with a mobile device, but also to the context in which the device is used, hence they can reveal sensitive user information such as identity and habits, environment, and operating system itself. Hence, this approach consists of inferring private information that is leaked by a mobile device through a side-channel. Besides, side-channel information is also extremely valuable to enforce security mechanisms such as user authentication, intrusion and information leaks detection. This dissertation investigates novel security and privacy challenges on the analysis of side-channels of mobile devices.