Thermal relaxation for the Relativistic Ornstein-Uhlenbeck Process

► The ROUP is the simplest and best controlled model of transport at bounded velocity. ► This is the first detailed study of thermalization induced by the ROUP. ► Thermalization induced by the ROUP is slower than standard thermalization at unbounded velocity. ► The spectrum of the operator controlling the thermalization has both a discrete and a continuous component.