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We develop a systematic perturbative method to obtain analytic solution ofthe Generalized Dorokhov-Mello-Pereyra-Kumar (DMPK) equation in the stronglydisordered regime which describes the evolution of the joint probabilitydistribution of the transmission eigenvalues with system size. The solutionallows us to obtain the distribution of conductance analytically in theinsulating regime. Our results are consistent with existing numericalsimulations of the three dimensional tight binding Anderson model, and suggestsa possible description of the Anderson transition in the presence of a verybroad, highly asymmetric conductance distribution.

Conductance distribution in three dimensions: analytic solution of the Generalized DMPK equation in the strongly disordered regime