Modelling an observer's branch of extremal consciousness
  Extreme-order statistics is applied to the branches of an observer in a many-worlds framework. A unitary evolution operator for a step of time is constructed, generating pseudostochastic behaviour with a power-law distribution when applied repeatedly to a particular initial state. The operator models the generation of records, their dating, the splitting of the wavefunction at quantum events, and the recalling of records by the observer. Due to the huge ensemble near an observer's end, the branch with the largest number of records recalled contains almost all "conscious dimension". 
L. Polley
quant-ph