Convergence of Markov Processes Near Saddle Fixed Points

  title={Convergence of Markov Processes Near Saddle Fixed Points},
  author={Amanda G. Turner},
x+τ (x) for some λ, μ > 0 and τ (x) = O(|x|). Here the processes are indexed so that the variance of the fluctuations of X t is inversely proportional to N . The simplest example arises from the OK Corral gunfight model which was formulated by Williams and McIlroy (1998) and studied by Kingman (1999). These processes exhibit their most interesting behaviour at times of order log N so it is necessary to establish a fluid limit that is valid for large times. We find that this limit is inherently… CONTINUE READING