Asymptotic Behavior of the Expectation Value of Permanent Products
  We would desire to have done the calculations of this paper in the measure on nxn matrices that weights uniformly all 0-1 matrices with row and column sum equal to r, other matrices given weight zero. Instead we work with all matrices that are the sum of r independent uniformly weighted permutation matrices, with the hope that the computations we perform give the same result in this measure. We derive the result for limiting expectations   lim (1/n)ln(E(perm_m(A) perm_m'(A))) =lim (1/n)ln(E(perm_m(A)))+   +lim (1/n)ln(E(perm_m'(A)))   Here the limit is n to infinity, r is fixed, and m and m' are taken as each proportional to n. 
Paul Federbush
math.CO