108 citations · 235 across the 5 of their papers we have counts for
4 papers · 1 filter
Construction of a Coordinate Bethe Ansatz for the asymmetric simple exclusion process with open boundaries
Damien Simon
The asymmetric simple exclusion process with open boundaries, which is a very simple model of out-of-equilibrium statistical physics, is known to be integrable. In particular, its…
Quasi-stationary regime of a branching random walk in presence of an absorbing wall
Damien Simon, Bernard Derrida
A branching random walk in presence of an absorbing wall moving at a constant velocity undergoes a phase transition as the velocity of the wall varies. Below the critical v…
The survival probability of a branching random walk in presence of an absorbing wall
B. Derrida, D. Simon
A branching random walk in presence of an absorbing wall moving at a constant velocity v undergoes a phase transition as v varies. The problem can be analyzed using the properties…
Evolution of the most recent common ancestor of a population with no selection
Damien Simon, Bernard Derrida
We consider the evolution of a population of fixed size with no selection. The number of generations to reach the first common ancestor evolves in time. This evolution can be d…