The present invention relates to methods and arrangements in a multi-carrier system. It also assumes independent DRX (Discontinuous reception) functionality on respective component carriers and the possibility for one carrier, e.g. the anchor carrier to initiate a change of DRX state for another component carrier. The basic concept of the present invention is to introduce a new “dormant” state in the DRX logic, whereby the dormant state can be used for non-anchor carrier components. The dormant DRX state implies that a carrier of a UE having this state is not required to monitor system signaling. In embodiments of the present invention this new state is introduced for a particular component carrier (e.g. non-anchor component carrier) for a UE operating in a multi-carrier system, and how to perform the transitions to and from the dormant DRX state implicitly, e.g. based on configured timer(s) for the component carrier or explicit signaling in a different (e.g. anchor) component carriers.