@unpublished{bcc-cirmar, author={Bordenave, Charles and Caputo, Pietro and Chafa{\"{\i}}, Djalil}, title={{C}ircular {L}aw {T}heorem for {R}andom {M}arkov {M}atrices}, year={2011}, note={preprint \texttt{arXiv:0808.1502 [math.PR]} to appear in {P}robability {T}heory and {R}elated {F}ields} }