Some limit results for Markov chains indexed by trees

Peter Czuppon, Peter Pfaffelhuber

We consider a sequence of Markov chains $({\mathcal{X}}^n{)}_{n=1,2,...}$ with ${\mathcal{X}}^n=(X_{\sigma }^n{)}_{\sigma \in \mathcal{T}}$, indexed by the full binary tree $\mathcal T = \mathcal T_0 \cup…