Finite genome length corrections for the mean fitness and gene   probabilities in evolution models
  Using the Hamilton-Jacobi equation approach to study genomes of length $L$, we obtain 1/L corrections for the steady state population distributions and mean fitness functions for horizontal gene transfer model, as well as for the diploid evolution model with general fitness landscapes. Our numerical solutions confirm the obtained analytic equations. Our method could be applied to the general case of nonlinear Markov models. 
Zara Kirakosyan, David B. Saakian, Chin Kun Hu
q-bio.PE cond-mat.stat-mech