Cortines, Aser - In: Stochastic Processes and their Applications 124 (2014) 11, pp. 3698-3723
We consider a stochastic model of N evolving particles studied by Brunet and Derrida. This model can be seen as a directed polymer in random medium with N sites in the transverse direction. Cook and Derrida use heuristic arguments to obtain a formula for the ground state energy of the polymer....