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Classical properties of an open quantum system emerge through its interaction with other degrees of freedom (decoherence). We treat the case where this interaction produces a Markovian master equation for the system. We derive the corresponding distinguished local basis (pointer basis) by three methods. The first demands that the pointer states mimic as close as possible the local non-unitary evolution. The second demands that the local entropy production be minimal. The third imposesdoi:10.1103/physrevlett.85.3552 pmid:11030948 fatcat:gyvg7s3usbbcrozjdvyg2kmzaq