Föllmer, Hans; Horst, Ulrich - 2001
models of financial markets, the interaction has both a local and a global component. The convergence of such Markov chains … convergence on the macroscopic level. Using a perturbation of the Dobrushin-Vasserstein contraction technique we show that … macroscopic convergence implies weak convergence of the underlying Markov chain. This extends the basic convergence theorem of …